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Finding the Fourth Proportional to 392.57, 542.09 and 288.25

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Solution

The fourth proportional to 392.57, 542.09 and 288.25 is: 398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.57 : 542.09 = 288.25 : x
  2. Step 2: Convert to fraction form
    392.57/542.09 = 288.25/x
  3. Step 3: Cross multiply
    392.57x = 542.09 × 288.25
  4. Step 4: Simplify right side
    392.57x = 156,257.44
  5. Step 5: Solve for x
    x = 156,257.44/392.57
  6. Step 6: Final answer
    x = 398.04

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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.