Finding the Fourth Proportional to 278.24, 417.26 and 115.88
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Solution
The fourth proportional to 278.24, 417.26 and 115.88 is: 173.78
Step by Step Solution
- Step 1: Write the proportion equation
278.24 : 417.26 = 115.88 : x - Step 2: Convert to fraction form
278.24/417.26 = 115.88/x - Step 3: Cross multiply
278.24x = 417.26 × 115.88 - Step 4: Simplify right side
278.24x = 48,350.29 - Step 5: Solve for x
x = 48,350.29/278.24 - Step 6: Final answer
x = 173.78
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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.