Finding the Fourth Proportional to 213.97, 320.85 and 76.99
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Solution
The fourth proportional to 213.97, 320.85 and 76.99 is: 115.45
Step by Step Solution
- Step 1: Write the proportion equation
213.97 : 320.85 = 76.99 : x - Step 2: Convert to fraction form
213.97/320.85 = 76.99/x - Step 3: Cross multiply
213.97x = 320.85 × 76.99 - Step 4: Simplify right side
213.97x = 24,702.24 - Step 5: Solve for x
x = 24,702.24/213.97 - Step 6: Final answer
x = 115.45
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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.