Finding the Fourth Proportional to 278.25, 417.36 and 115.74
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Solution
The fourth proportional to 278.25, 417.36 and 115.74 is: 173.60
Step by Step Solution
- Step 1: Write the proportion equation
278.25 : 417.36 = 115.74 : x - Step 2: Convert to fraction form
278.25/417.36 = 115.74/x - Step 3: Cross multiply
278.25x = 417.36 × 115.74 - Step 4: Simplify right side
278.25x = 48,305.25 - Step 5: Solve for x
x = 48,305.25/278.25 - Step 6: Final answer
x = 173.60
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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.