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Finding the Fourth Proportional to 392.92, 542.17 and 218.28

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Solution

The fourth proportional to 392.92, 542.17 and 218.28 is: 301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.92 : 542.17 = 218.28 : x
  2. Step 2: Convert to fraction form
    392.92/542.17 = 218.28/x
  3. Step 3: Cross multiply
    392.92x = 542.17 × 218.28
  4. Step 4: Simplify right side
    392.92x = 118,344.87
  5. Step 5: Solve for x
    x = 118,344.87/392.92
  6. Step 6: Final answer
    x = 301.19

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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.