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Finding the Fourth Proportional to 392.17, 587.91 and 209.70

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Solution

The fourth proportional to 392.17, 587.91 and 209.70 is: 314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.17 : 587.91 = 209.70 : x
  2. Step 2: Convert to fraction form
    392.17/587.91 = 209.70/x
  3. Step 3: Cross multiply
    392.17x = 587.91 × 209.70
  4. Step 4: Simplify right side
    392.17x = 123,281.79
  5. Step 5: Solve for x
    x = 123,281.79/392.17
  6. Step 6: Final answer
    x = 314.36

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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.