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Finding the Fourth Proportional to 391.55, 585.94 and 281.97

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Solution

The fourth proportional to 391.55, 585.94 and 281.97 is: 421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.55 : 585.94 = 281.97 : x
  2. Step 2: Convert to fraction form
    391.55/585.94 = 281.97/x
  3. Step 3: Cross multiply
    391.55x = 585.94 × 281.97
  4. Step 4: Simplify right side
    391.55x = 165,217.50
  5. Step 5: Solve for x
    x = 165,217.50/391.55
  6. Step 6: Final answer
    x = 421.96

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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.