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Finding the Fourth Proportional to 392.50, 586.92 and 293.86

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Solution

The fourth proportional to 392.50, 586.92 and 293.86 is: 439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.50 : 586.92 = 293.86 : x
  2. Step 2: Convert to fraction form
    392.50/586.92 = 293.86/x
  3. Step 3: Cross multiply
    392.50x = 586.92 × 293.86
  4. Step 4: Simplify right side
    392.50x = 172,472.31
  5. Step 5: Solve for x
    x = 172,472.31/392.50
  6. Step 6: Final answer
    x = 439.42

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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.