Finding the Fourth Proportional to 278.11, 417.21 and 115.80
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Solution
The fourth proportional to 278.11, 417.21 and 115.80 is: 173.72
Step by Step Solution
- Step 1: Write the proportion equation
278.11 : 417.21 = 115.80 : x - Step 2: Convert to fraction form
278.11/417.21 = 115.80/x - Step 3: Cross multiply
278.11x = 417.21 × 115.80 - Step 4: Simplify right side
278.11x = 48,312.92 - Step 5: Solve for x
x = 48,312.92/278.11 - Step 6: Final answer
x = 173.72
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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.