Finding the Fourth Proportional to 278.29, 417.49 and 115.99
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Solution
The fourth proportional to 278.29, 417.49 and 115.99 is: 174.01
Step by Step Solution
- Step 1: Write the proportion equation
278.29 : 417.49 = 115.99 : x - Step 2: Convert to fraction form
278.29/417.49 = 115.99/x - Step 3: Cross multiply
278.29x = 417.49 × 115.99 - Step 4: Simplify right side
278.29x = 48,424.67 - Step 5: Solve for x
x = 48,424.67/278.29 - Step 6: Final answer
x = 174.01
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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.