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Finding the Fourth Proportional to 542.13, 748.30 and 371.80

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Solution

The fourth proportional to 542.13, 748.30 and 371.80 is: 513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.13 : 748.30 = 371.80 : x
  2. Step 2: Convert to fraction form
    542.13/748.30 = 371.80/x
  3. Step 3: Cross multiply
    542.13x = 748.30 × 371.80
  4. Step 4: Simplify right side
    542.13x = 278,217.94
  5. Step 5: Solve for x
    x = 278,217.94/542.13
  6. Step 6: Final answer
    x = 513.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.