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Finding the Fourth Proportional to 392.97, 542.32 and 218.31

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Solution

The fourth proportional to 392.97, 542.32 and 218.31 is: 301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.97 : 542.32 = 218.31 : x
  2. Step 2: Convert to fraction form
    392.97/542.32 = 218.31/x
  3. Step 3: Cross multiply
    392.97x = 542.32 × 218.31
  4. Step 4: Simplify right side
    392.97x = 118,393.88
  5. Step 5: Solve for x
    x = 118,393.88/392.97
  6. Step 6: Final answer
    x = 301.28

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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.