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Finding the Fourth Proportional to 542.85, 749.13 and 321.91

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Solution

The fourth proportional to 542.85, 749.13 and 321.91 is: 444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.85 : 749.13 = 321.91 : x
  2. Step 2: Convert to fraction form
    542.85/749.13 = 321.91/x
  3. Step 3: Cross multiply
    542.85x = 749.13 × 321.91
  4. Step 4: Simplify right side
    542.85x = 241,148.69
  5. Step 5: Solve for x
    x = 241,148.69/542.85
  6. Step 6: Final answer
    x = 444.23

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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.