What is the value of \(x\) if \(4:x=x:16\)?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 8
In a proportion \(a:b=c:d\), the product of the extremes equals the product of the means (\(ad=bc\)). Here \(x\) is both middle terms, so \(x\) is the mean proportional of 4 and 16.
\(x\times x=4\times16\)
\(x^2=64\), so \(x=8\)