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Finding the Fourth Proportional to 281.60, 422.36 and 178.57

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Solution

The fourth proportional to 281.60, 422.36 and 178.57 is: 267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.60 : 422.36 = 178.57 : x
  2. Step 2: Convert to fraction form
    281.60/422.36 = 178.57/x
  3. Step 3: Cross multiply
    281.60x = 422.36 × 178.57
  4. Step 4: Simplify right side
    281.60x = 75,418.71
  5. Step 5: Solve for x
    x = 75,418.71/281.60
  6. Step 6: Final answer
    x = 267.83

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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.