Find the fourth proportional to 4, 9 and 16.

Question

Accepted Answer

The fourth proportional to three numbers a, b, and c is the number x such that a : b = c : x. Here, a = 4, b = 9, and c = 16. So, 4 : 9 = 16 : x. Cross-multiplying, 4x = 9 × 16 = 144. Therefore, x = 144 / 4 = 36. However, the options given are 18, 27, 36, and 16. Rechecking the calculation: 4 : 9 = 16 : x => 4x = 9 × 16 = 144 => x = 144 / 4 = 36. So the correct answer is 36. But the answer marked as correct is 27 in the options. Let's verify if the question might have a different interpretation. Another approach is to check if the question expects the fourth proportional to 4, 9, and 16 in the order 4 : 9 = 16 : x. This is correct. So the answer is 36. Therefore, the correct option is 36.

Answer

Answer

Answer