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Finding the Fourth Proportional to 391.84, 587.82 and 131.80

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Solution

The fourth proportional to 391.84, 587.82 and 131.80 is: 197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.84 : 587.82 = 131.80 : x
  2. Step 2: Convert to fraction form
    391.84/587.82 = 131.80/x
  3. Step 3: Cross multiply
    391.84x = 587.82 × 131.80
  4. Step 4: Simplify right side
    391.84x = 77,474.68
  5. Step 5: Solve for x
    x = 77,474.68/391.84
  6. Step 6: Final answer
    x = 197.72

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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.