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Finding the Fourth Proportional to 541.97, 747.91 and 293.28

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Solution

The fourth proportional to 541.97, 747.91 and 293.28 is: 404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.97 : 747.91 = 293.28 : x
  2. Step 2: Convert to fraction form
    541.97/747.91 = 293.28/x
  3. Step 3: Cross multiply
    541.97x = 747.91 × 293.28
  4. Step 4: Simplify right side
    541.97x = 219,348.91
  5. Step 5: Solve for x
    x = 219,348.91/541.97
  6. Step 6: Final answer
    x = 404.73

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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.