□ : 24 : : 3 : 8 - Mathematics

`square` : 24 : : 3 : 8

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9 : 24 : : 3 : 8

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Chapter 3: Ratio and Proportion - Exercise 3.3 [Page 58]

Chapter 3 Ratio and Proportion
Exercise 3.3 | Q 1. (ii) | Page 58

What least number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional?

If y is the mean proportional between x and z; show that xy + yz is the mean proportional between x² + y² and y² + z².

Find the value of x in the following proportions : 10 : 35 = x : 42

Find the value of x in each of the following proportion:

27 : x : : 63 : 84

Write (T) for true and (F) for false in case of the following:

30 bags : 18 bags : : Rs 450 : Rs 270

24 workers can build a wall in 15 days. How many days will 9 workers take to build a similar wall?

If 57 : x : : 51 : 85, then the value of x is

Two numbers are in the ratio 5 : 7 and the sum of these numbers is 252. The larger of these numbers is

If a, b, c and d are in proportion, prove that: `(a^2 + ab + b^2)/(a^2 - ab + b^2) = (c^2 + cd + d^2)/(c^2 - cd + d^2)`

If a, b, c are in continued proportion, prove that: a² b² c² (a^-4 + b^-4 + c^-4) = b^-2(a⁴ + b⁴ + c⁴)