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Finding the Fourth Proportional to 542.89, 749.17 and 321.85

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Solution

The fourth proportional to 542.89, 749.17 and 321.85 is: 444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.89 : 749.17 = 321.85 : x
  2. Step 2: Convert to fraction form
    542.89/749.17 = 321.85/x
  3. Step 3: Cross multiply
    542.89x = 749.17 × 321.85
  4. Step 4: Simplify right side
    542.89x = 241,120.36
  5. Step 5: Solve for x
    x = 241,120.36/542.89
  6. Step 6: Final answer
    x = 444.14

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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.