Finding the Fourth Proportional to 378.96, 568.34 and 147.75
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Solution
The fourth proportional to 378.96, 568.34 and 147.75 is: 221.59
Step by Step Solution
- Step 1: Write the proportion equation
378.96 : 568.34 = 147.75 : x - Step 2: Convert to fraction form
378.96/568.34 = 147.75/x - Step 3: Cross multiply
378.96x = 568.34 × 147.75 - Step 4: Simplify right side
378.96x = 83,972.24 - Step 5: Solve for x
x = 83,972.24/378.96 - Step 6: Final answer
x = 221.59
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.