Finding the Fourth Proportional to 287.76, 431.64 and 174.48
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Solution
The fourth proportional to 287.76, 431.64 and 174.48 is: 261.72
Step by Step Solution
- Step 1: Write the proportion equation
287.76 : 431.64 = 174.48 : x - Step 2: Convert to fraction form
287.76/431.64 = 174.48/x - Step 3: Cross multiply
287.76x = 431.64 × 174.48 - Step 4: Simplify right side
287.76x = 75,312.55 - Step 5: Solve for x
x = 75,312.55/287.76 - Step 6: Final answer
x = 261.72
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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.