Finding the Fourth Proportional to 378.24, 567 and 147.07
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Solution
The fourth proportional to 378.24, 567 and 147.07 is: 220.47
Step by Step Solution
- Step 1: Write the proportion equation
378.24 : 567 = 147.07 : x - Step 2: Convert to fraction form
378.24/567 = 147.07/x - Step 3: Cross multiply
378.24x = 567 × 147.07 - Step 4: Simplify right side
378.24x = 83,390.99 - Step 5: Solve for x
x = 83,390.99/378.24 - Step 6: Final answer
x = 220.47
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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.