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Finding the Fourth Proportional to 391.44, 587.40 and 261.55

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Solution

The fourth proportional to 391.44, 587.40 and 261.55 is: 392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.44 : 587.40 = 261.55 : x
  2. Step 2: Convert to fraction form
    391.44/587.40 = 261.55/x
  3. Step 3: Cross multiply
    391.44x = 587.40 × 261.55
  4. Step 4: Simplify right side
    391.44x = 153,634.47
  5. Step 5: Solve for x
    x = 153,634.47/391.44
  6. Step 6: Final answer
    x = 392.49

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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.