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Finding the Fourth Proportional to 392.98, 588.80 and 315.52

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Solution

The fourth proportional to 392.98, 588.80 and 315.52 is: 472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.98 : 588.80 = 315.52 : x
  2. Step 2: Convert to fraction form
    392.98/588.80 = 315.52/x
  3. Step 3: Cross multiply
    392.98x = 588.80 × 315.52
  4. Step 4: Simplify right side
    392.98x = 185,778.18
  5. Step 5: Solve for x
    x = 185,778.18/392.98
  6. Step 6: Final answer
    x = 472.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.