Cluster · Proportion and Variation

d
Clusters / #1132
tight score 0.27

Mean and Proportional Relationships in Ratios
Questions
293
Questions in this cluster
293 total
Question Category Subtype Difficulty

The fourth proportional to 4, a, and 16a is 81. What is the value of a?

pipeline-668369
quant intermediate

The third proportion of 0.024 and 0.12 is:

pipeline-461127
quant intermediate

The ratio of the third proportional to 16 & 40 and the mean proportional between 10 & 40 is:

pipeline-461084
quant intermediate

If 23 : 85.06 :: 8-4.06 : x, find the value of x.

pipeline-668729
quant intermediate

Find the mean proportion of \(\frac{a^3+b^3}{a-b} and \frac{a^2-b^2}{a^2-ab+b^2}\).

pipeline-392304
quant intermediate

Find the fourth proportional to 3, 12, 14.

pipeline-486412
quant intermediate

The fourth proportional to 3, 5, 9 is:

pipeline-486426
quant intermediate

The third proportional to 24 and 36 is:

pipeline-467280
quant intermediate

Find the mean proportional between 4 and 900.

pipeline-486059
quant intermediate

If a + b = 25 and a – b = 7, then determine the mean proportion of a and b.

pipeline-469176
quant intermediate

The mean proportion of 169 and 144 is:

pipeline-387341
quant intermediate

If x is the mean proportional between 12.8 and 64.8, then the value of x is:

pipeline-392892
quant intermediate

M varies inversely as (N+ 3). If M = 3 when N = 3, then what will be the value of M when N= 69?

pipeline-670604
quant intermediate

What is the ratio of the mean proportional between 1.6 and 3.6 and the third proportional of 5 and 8?

pipeline-387066
quant intermediate

Find the mean proportion of 3 and 27. 

pipeline-284139
quant intermediate

A varies directly as the positive square root of B, and inversely as the cube of C. If A = 15, when B = 27 and C = 2, then find B when A = 9 and C = 2.

pipeline-390873
quant intermediate

What is the ratio of the fourth proportional of 2, 5, 6 to the fourth proportional of 6, 8, 9?

pipeline-388381
quant intermediate

Find the mean proportional between 0.64 and 0.81.

pipeline-467983
quant intermediate

The third proportional to 81 and 27 is:

pipeline-342977
quant intermediate

Which smallest positive number should be subtracted from each of 9 and 13 so that 18 is the third proportion to them?

pipeline-392624
quant intermediate

 Find the third proportional to 8 and 12.

pipeline-486063
quant intermediate

Find the fourth proportional to 7, 13 and 21.

pipeline-418142
quant intermediate

The third proportional of 42 and 63 is:

pipeline-343409
quant intermediate

The weight of a liquid varies directly with its volume. A liquid that weighs 12 kg has a volume of 3 liters. What will be the weight of a liquid that has a volume of 4 liters?

pipeline-469298
quant intermediate

What is the fourth proportional to 16, 24, 8?

pipeline-305565
quant intermediate

Find the fourth proportional to 5, 10, and 12.

pipeline-422412
quant intermediate

If a : b = 2 : 7 and 343 is the third proportional to a and b, then the value of b – a is:

pipeline-487163
quant intermediate

In proportion, the product of the 1st and 4th term is 70 and that of the 2nd and 3rd term is 3.5x. Find the value of x.

pipeline-469165
quant intermediate

Find the mean proportional of (x + y)4 and (x - y)4.

pipeline-487458
quant intermediate

Find the fourth proportional to the numbers 36, 48, and 90.

pipeline-479629
quant intermediate

If x is directly proportional to y and x = 10 when y = 8, then what is the value of x when y = 36?

pipeline-469306
quant intermediate

The fourth ratio of 12, 24, and 27 is the same as the third ratio of A and 36. What is the value of A?

pipeline-390735
quant intermediate

Find the mean proportion between 256 and 484.

pipeline-486430
quant intermediate

Find the third proportional to 27 and 18.

pipeline-422520
quant intermediate

Find the mean proportion between \({(6+\sqrt8)}\) and \({(3-\sqrt2)}\).

pipeline-388825
quant intermediate

Find the mean proportional between 18 and 32. 

pipeline-487506
quant intermediate

The mean proportional between 0.04 and 0.36 is:

pipeline-585262
quant intermediate

The fourth proportional to the numbers 5, 6, and 8 is:

pipeline-284075
quant intermediate

Find the mean proportional between 9 and 25.

pipeline-480789
quant intermediate

Find the fourth proportional of s3, s2t, and st2.

pipeline-487418
quant intermediate

Find the third proportion to 16 and 24.

pipeline-344994
quant intermediate

The ratio between the fourth proportional of 7, 5, and 3 to the third proportional of 7 and 13 is:

pipeline-466335
quant intermediate

Find the mean proportional between 3 and 27.

pipeline-480774
quant intermediate

If 3 : 5 = x : 75, then what is the value of x?

pipeline-467878
quant intermediate

If x is the fourth proportional of 48, 72 and 108, what is the value of x?

pipeline-422748
quant intermediate

What is the fourth proportional to √6, √8, and √21?

pipeline-466778
quant intermediate

The mean proportional of a and b is c. What is the mean proportional of a2 c and b2 c?

pipeline-392319
quant intermediate

The ratio of the third proportion of 5 and 12 with the fourth proportion of 5, 8, and 9 is:

pipeline-486407
quant intermediate

What is the third proportion to 15 and 24?

pipeline-342527
quant intermediate

Find the mean proportional of 0.75 and 3.

pipeline-487167
quant intermediate
Page 1 of 6