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Finding the Fourth Proportional to 542.03, 748.24 and 395.78

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Solution

The fourth proportional to 542.03, 748.24 and 395.78 is: 546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.03 : 748.24 = 395.78 : x
  2. Step 2: Convert to fraction form
    542.03/748.24 = 395.78/x
  3. Step 3: Cross multiply
    542.03x = 748.24 × 395.78
  4. Step 4: Simplify right side
    542.03x = 296,138.43
  5. Step 5: Solve for x
    x = 296,138.43/542.03
  6. Step 6: Final answer
    x = 546.35

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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.