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Finding the Fourth Proportional to 392.31, 588.81 and 209.85

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Solution

The fourth proportional to 392.31, 588.81 and 209.85 is: 314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.31 : 588.81 = 209.85 : x
  2. Step 2: Convert to fraction form
    392.31/588.81 = 209.85/x
  3. Step 3: Cross multiply
    392.31x = 588.81 × 209.85
  4. Step 4: Simplify right side
    392.31x = 123,561.78
  5. Step 5: Solve for x
    x = 123,561.78/392.31
  6. Step 6: Final answer
    x = 314.96

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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.