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Finding the Fourth Proportional to 392.12, 587.76 and 247.88

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Solution

The fourth proportional to 392.12, 587.76 and 247.88 is: 371.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.12 : 587.76 = 247.88 : x
  2. Step 2: Convert to fraction form
    392.12/587.76 = 247.88/x
  3. Step 3: Cross multiply
    392.12x = 587.76 × 247.88
  4. Step 4: Simplify right side
    392.12x = 145,693.95
  5. Step 5: Solve for x
    x = 145,693.95/392.12
  6. Step 6: Final answer
    x = 371.55

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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.