Finding the Fourth Proportional to 213.24, 319.84 and 85.08
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Solution
The fourth proportional to 213.24, 319.84 and 85.08 is: 127.61
Step by Step Solution
- Step 1: Write the proportion equation
213.24 : 319.84 = 85.08 : x - Step 2: Convert to fraction form
213.24/319.84 = 85.08/x - Step 3: Cross multiply
213.24x = 319.84 × 85.08 - Step 4: Simplify right side
213.24x = 27,211.99 - Step 5: Solve for x
x = 27,211.99/213.24 - Step 6: Final answer
x = 127.61
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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.