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Finding the Fourth Proportional to 392.22, 588.52 and 209.56

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Solution

The fourth proportional to 392.22, 588.52 and 209.56 is: 314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.22 : 588.52 = 209.56 : x
  2. Step 2: Convert to fraction form
    392.22/588.52 = 209.56/x
  3. Step 3: Cross multiply
    392.22x = 588.52 × 209.56
  4. Step 4: Simplify right side
    392.22x = 123,330.25
  5. Step 5: Solve for x
    x = 123,330.25/392.22
  6. Step 6: Final answer
    x = 314.44

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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.