Question : What is the fourth proportional to 7, 15, and 21?
Option 1: 29
Option 2: 30
Option 3: 48
Option 4: 45
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Correct Answer: 45
Solution : The fourth of proportional of $a,b$ and $c=\frac{b×c}{a}$ So, the fourth proportional of 7, 15, and 21 = $\frac{15×21}{7}$ = 45 Hence, the correct answer is 45.
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Question : What is the ratio of the mean proportional between 1.6 and 3.6 and the third proportional of 5 and 8?
Option 1: 2 : 15
Option 2: 5 : 16
Option 3: 3 : 16
Option 4: 4 : 15
Question : If $14 : 30 :: 7 : x$, then what is the value of $x$?
Option 1: 15
Option 2: 21
Option 3: 9
Option 4: 12
Question : If A : B = 2 : 5, B : C = 4 : 3, and C : D = 2 : 1, what is the value of A : C : D?
Option 1: 6 : 5 : 2
Option 2: 7 : 20 : 10
Option 3: 8 : 30 : 15
Option 4: 16 : 30 : 15
Question : What is the fourth proportional to 189, 273, and 153?
Option 1: 117
Option 2: 299
Option 3: 221
Option 4: 187
Question : Simplify the following expression. $\frac{7}{10} \div \frac{3}{7}$ of $\left(2 \frac{3}{10}+2 \frac{3}{5}\right)+\frac{1}{5} \div 1 \frac{2}{5}-\frac{2}{7}$
Option 1: $-\frac{4}{21}$
Option 2: $\frac{5}{21}$
Option 3: $\frac{4}{21}$
Option 4: $-\frac{5}{21}$
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