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Finding the Fourth Proportional to 542.20, 748.14 and 321.16

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Solution

The fourth proportional to 542.20, 748.14 and 321.16 is: 443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.20 : 748.14 = 321.16 : x
  2. Step 2: Convert to fraction form
    542.20/748.14 = 321.16/x
  3. Step 3: Cross multiply
    542.20x = 748.14 × 321.16
  4. Step 4: Simplify right side
    542.20x = 240,272.64
  5. Step 5: Solve for x
    x = 240,272.64/542.20
  6. Step 6: Final answer
    x = 443.14

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