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Finding the Fourth Proportional to 542.78, 748.68 and 356.44

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Solution

The fourth proportional to 542.78, 748.68 and 356.44 is: 491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.78 : 748.68 = 356.44 : x
  2. Step 2: Convert to fraction form
    542.78/748.68 = 356.44/x
  3. Step 3: Cross multiply
    542.78x = 748.68 × 356.44
  4. Step 4: Simplify right side
    542.78x = 266,859.50
  5. Step 5: Solve for x
    x = 266,859.50/542.78
  6. Step 6: Final answer
    x = 491.65

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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.