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Finding the Fourth Proportional to 392.26, 587.70 and 261.96

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Solution

The fourth proportional to 392.26, 587.70 and 261.96 is: 392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.26 : 587.70 = 261.96 : x
  2. Step 2: Convert to fraction form
    392.26/587.70 = 261.96/x
  3. Step 3: Cross multiply
    392.26x = 587.70 × 261.96
  4. Step 4: Simplify right side
    392.26x = 153,953.89
  5. Step 5: Solve for x
    x = 153,953.89/392.26
  6. Step 6: Final answer
    x = 392.48

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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.