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Finding the Fourth Proportional to 282.74, 422.40 and 179.20

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Solution

The fourth proportional to 282.74, 422.40 and 179.20 is: 267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.74 : 422.40 = 179.20 : x
  2. Step 2: Convert to fraction form
    282.74/422.40 = 179.20/x
  3. Step 3: Cross multiply
    282.74x = 422.40 × 179.20
  4. Step 4: Simplify right side
    282.74x = 75,691.07
  5. Step 5: Solve for x
    x = 75,691.07/282.74
  6. Step 6: Final answer
    x = 267.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.