Finding the Fourth Proportional to 217.53, 325.77 and 178.74
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Solution
The fourth proportional to 217.53, 325.77 and 178.74 is: 267.68
Step by Step Solution
- Step 1: Write the proportion equation
217.53 : 325.77 = 178.74 : x - Step 2: Convert to fraction form
217.53/325.77 = 178.74/x - Step 3: Cross multiply
217.53x = 325.77 × 178.74 - Step 4: Simplify right side
217.53x = 58,228.13 - Step 5: Solve for x
x = 58,228.13/217.53 - Step 6: Final answer
x = 267.68
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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.