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Finding the Fourth Proportional to 392.05, 587.17 and 229.85

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Solution

The fourth proportional to 392.05, 587.17 and 229.85 is: 344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.05 : 587.17 = 229.85 : x
  2. Step 2: Convert to fraction form
    392.05/587.17 = 229.85/x
  3. Step 3: Cross multiply
    392.05x = 587.17 × 229.85
  4. Step 4: Simplify right side
    392.05x = 134,958.41
  5. Step 5: Solve for x
    x = 134,958.41/392.05
  6. Step 6: Final answer
    x = 344.24

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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.