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Finding the Fourth Proportional to 392.89, 542.19 and 218.27

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Solution

The fourth proportional to 392.89, 542.19 and 218.27 is: 301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.89 : 542.19 = 218.27 : x
  2. Step 2: Convert to fraction form
    392.89/542.19 = 218.27/x
  3. Step 3: Cross multiply
    392.89x = 542.19 × 218.27
  4. Step 4: Simplify right side
    392.89x = 118,342.86
  5. Step 5: Solve for x
    x = 118,342.86/392.89
  6. Step 6: Final answer
    x = 301.21

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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.