Finding the Fourth Proportional to 378.13, 567.25 and 161.66
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Solution
The fourth proportional to 378.13, 567.25 and 161.66 is: 242.50
Step by Step Solution
- Step 1: Write the proportion equation
378.13 : 567.25 = 161.66 : x - Step 2: Convert to fraction form
378.13/567.25 = 161.66/x - Step 3: Cross multiply
378.13x = 567.25 × 161.66 - Step 4: Simplify right side
378.13x = 91,697.99 - Step 5: Solve for x
x = 91,697.99/378.13 - Step 6: Final answer
x = 242.50
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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.