Question : If $256, K, K, 81$ are in proportion, and $K$ is positive, then what is the value of $K$?
Option 1: 156
Option 2: 126
Option 3: 144
Option 4: 164
Answer (1)
11th Jan, 2024
Correct Answer: 144
Solution :
Given: $256, K, K, 81$ are in proportion, and $K$ is positive.
Use the formula, Mean proportional = $\sqrt{ab}$ where $a$, and $b$ are the numbers.
According to the question,
$K=\sqrt{81\times 256}$
$\therefore K=9\times 16=144$
Hence, the correct answer is 144.
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