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Finding the Fourth Proportional to 542.99, 749.33 and 294.31

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Solution

The fourth proportional to 542.99, 749.33 and 294.31 is: 406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.99 : 749.33 = 294.31 : x
  2. Step 2: Convert to fraction form
    542.99/749.33 = 294.31/x
  3. Step 3: Cross multiply
    542.99x = 749.33 × 294.31
  4. Step 4: Simplify right side
    542.99x = 220,535.31
  5. Step 5: Solve for x
    x = 220,535.31/542.99
  6. Step 6: Final answer
    x = 406.15

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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.