Finding the Fourth Proportional to 161.53, 242.08 and 74.91
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Solution
The fourth proportional to 161.53, 242.08 and 74.91 is: 112.27
Step by Step Solution
- Step 1: Write the proportion equation
161.53 : 242.08 = 74.91 : x - Step 2: Convert to fraction form
161.53/242.08 = 74.91/x - Step 3: Cross multiply
161.53x = 242.08 × 74.91 - Step 4: Simplify right side
161.53x = 18,134.21 - Step 5: Solve for x
x = 18,134.21/161.53 - Step 6: Final answer
x = 112.27
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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.