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Finding the Fourth Proportional to 392, 588.11 and 229.82

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Solution

The fourth proportional to 392, 588.11 and 229.82 is: 344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    392 : 588.11 = 229.82 : x
  2. Step 2: Convert to fraction form
    392/588.11 = 229.82/x
  3. Step 3: Cross multiply
    392x = 588.11 × 229.82
  4. Step 4: Simplify right side
    392x = 135,159.44
  5. Step 5: Solve for x
    x = 135,159.44/392
  6. Step 6: Final answer
    x = 344.79

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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.