Question : Find the fourth proportional of 144, 192, and 216.
Option 1: 361
Option 2: 288
Option 3: 324
Option 4: 289
Correct Answer: 288
Solution :
Let the fourth proportional be $x$.
For the fourth proportional of 144, 192, and 216,
$144 : 192 :: 216 : x$
⇒ $\frac{144}{192}=\frac{216}{x}$
⇒ $x=288$
Hence, the correct answer is 288.
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