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Finding the Fourth Proportional to 542.30, 748.31 and 321.20

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Solution

The fourth proportional to 542.30, 748.31 and 321.20 is: 443.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.30 : 748.31 = 321.20 : x
  2. Step 2: Convert to fraction form
    542.30/748.31 = 321.20/x
  3. Step 3: Cross multiply
    542.30x = 748.31 × 321.20
  4. Step 4: Simplify right side
    542.30x = 240,357.17
  5. Step 5: Solve for x
    x = 240,357.17/542.30
  6. Step 6: Final answer
    x = 443.22

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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.