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Finding the Fourth Proportional to 391.87, 587.75 and 131.86

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Solution

The fourth proportional to 391.87, 587.75 and 131.86 is: 197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.87 : 587.75 = 131.86 : x
  2. Step 2: Convert to fraction form
    391.87/587.75 = 131.86/x
  3. Step 3: Cross multiply
    391.87x = 587.75 × 131.86
  4. Step 4: Simplify right side
    391.87x = 77,498.59
  5. Step 5: Solve for x
    x = 77,498.59/391.87
  6. Step 6: Final answer
    x = 197.77

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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.