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Finding the Fourth Proportional to 392.27, 587.68 and 261.97

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Solution

The fourth proportional to 392.27, 587.68 and 261.97 is: 392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.27 : 587.68 = 261.97 : x
  2. Step 2: Convert to fraction form
    392.27/587.68 = 261.97/x
  3. Step 3: Cross multiply
    392.27x = 587.68 × 261.97
  4. Step 4: Simplify right side
    392.27x = 153,952.41
  5. Step 5: Solve for x
    x = 153,952.41/392.27
  6. Step 6: Final answer
    x = 392.47

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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.