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Finding the Fourth Proportional to 542.98, 749.31 and 294.29

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Solution

The fourth proportional to 542.98, 749.31 and 294.29 is: 406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.98 : 749.31 = 294.29 : x
  2. Step 2: Convert to fraction form
    542.98/749.31 = 294.29/x
  3. Step 3: Cross multiply
    542.98x = 749.31 × 294.29
  4. Step 4: Simplify right side
    542.98x = 220,517.44
  5. Step 5: Solve for x
    x = 220,517.44/542.98
  6. Step 6: Final answer
    x = 406.13

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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.