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Finding the Fourth Proportional to 392.97, 542.43 and 314.43

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Solution

The fourth proportional to 392.97, 542.43 and 314.43 is: 434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.97 : 542.43 = 314.43 : x
  2. Step 2: Convert to fraction form
    392.97/542.43 = 314.43/x
  3. Step 3: Cross multiply
    392.97x = 542.43 × 314.43
  4. Step 4: Simplify right side
    392.97x = 170,556.26
  5. Step 5: Solve for x
    x = 170,556.26/392.97
  6. Step 6: Final answer
    x = 434.02

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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.