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Finding the Fourth Proportional to 542.14, 748.20 and 321.16

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Solution

The fourth proportional to 542.14, 748.20 and 321.16 is: 443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.14 : 748.20 = 321.16 : x
  2. Step 2: Convert to fraction form
    542.14/748.20 = 321.16/x
  3. Step 3: Cross multiply
    542.14x = 748.20 × 321.16
  4. Step 4: Simplify right side
    542.14x = 240,291.91
  5. Step 5: Solve for x
    x = 240,291.91/542.14
  6. Step 6: Final answer
    x = 443.23

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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.