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Finding the Fourth Proportional to 392.92, 588.85 and 187.04

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Solution

The fourth proportional to 392.92, 588.85 and 187.04 is: 280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.92 : 588.85 = 187.04 : x
  2. Step 2: Convert to fraction form
    392.92/588.85 = 187.04/x
  3. Step 3: Cross multiply
    392.92x = 588.85 × 187.04
  4. Step 4: Simplify right side
    392.92x = 110,138.50
  5. Step 5: Solve for x
    x = 110,138.50/392.92
  6. Step 6: Final answer
    x = 280.31

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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.