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Finding the Fourth Proportional to 542.80, 749.07 and 294.13

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Solution

The fourth proportional to 542.80, 749.07 and 294.13 is: 405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.80 : 749.07 = 294.13 : x
  2. Step 2: Convert to fraction form
    542.80/749.07 = 294.13/x
  3. Step 3: Cross multiply
    542.80x = 749.07 × 294.13
  4. Step 4: Simplify right side
    542.80x = 220,320.05
  5. Step 5: Solve for x
    x = 220,320.05/542.80
  6. Step 6: Final answer
    x = 405.89

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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.