Finding the Fourth Proportional to 117.14, 175.93 and 97.99
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Solution
The fourth proportional to 117.14, 175.93 and 97.99 is: 147.17
Step by Step Solution
- Step 1: Write the proportion equation
117.14 : 175.93 = 97.99 : x - Step 2: Convert to fraction form
117.14/175.93 = 97.99/x - Step 3: Cross multiply
117.14x = 175.93 × 97.99 - Step 4: Simplify right side
117.14x = 17,238.70 - Step 5: Solve for x
x = 17,238.70/117.14 - Step 6: Final answer
x = 147.17
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.