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Finding the Fourth Proportional to 422.31, 633.78 and 162.39

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Solution

The fourth proportional to 422.31, 633.78 and 162.39 is: 243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.31 : 633.78 = 162.39 : x
  2. Step 2: Convert to fraction form
    422.31/633.78 = 162.39/x
  3. Step 3: Cross multiply
    422.31x = 633.78 × 162.39
  4. Step 4: Simplify right side
    422.31x = 102,919.53
  5. Step 5: Solve for x
    x = 102,919.53/422.31
  6. Step 6: Final answer
    x = 243.71

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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.