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Finding the Fourth Proportional to 392.25, 588.63 and 209.77

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Solution

The fourth proportional to 392.25, 588.63 and 209.77 is: 314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.25 : 588.63 = 209.77 : x
  2. Step 2: Convert to fraction form
    392.25/588.63 = 209.77/x
  3. Step 3: Cross multiply
    392.25x = 588.63 × 209.77
  4. Step 4: Simplify right side
    392.25x = 123,473.97
  5. Step 5: Solve for x
    x = 123,473.97/392.25
  6. Step 6: Final answer
    x = 314.79

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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.