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Finding the Fourth Proportional to 542.44, 748.54 and 356.30

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Solution

The fourth proportional to 542.44, 748.54 and 356.30 is: 491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.44 : 748.54 = 356.30 : x
  2. Step 2: Convert to fraction form
    542.44/748.54 = 356.30/x
  3. Step 3: Cross multiply
    542.44x = 748.54 × 356.30
  4. Step 4: Simplify right side
    542.44x = 266,704.80
  5. Step 5: Solve for x
    x = 266,704.80/542.44
  6. Step 6: Final answer
    x = 491.68

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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.