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Finding the Fourth Proportional to 392.70, 542.19 and 351.12

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Solution

The fourth proportional to 392.70, 542.19 and 351.12 is: 484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.70 : 542.19 = 351.12 : x
  2. Step 2: Convert to fraction form
    392.70/542.19 = 351.12/x
  3. Step 3: Cross multiply
    392.70x = 542.19 × 351.12
  4. Step 4: Simplify right side
    392.70x = 190,373.75
  5. Step 5: Solve for x
    x = 190,373.75/392.70
  6. Step 6: Final answer
    x = 484.78

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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.