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Finding the Fourth Proportional to 422.39, 633.87 and 162.61

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Solution

The fourth proportional to 422.39, 633.87 and 162.61 is: 244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.39 : 633.87 = 162.61 : x
  2. Step 2: Convert to fraction form
    422.39/633.87 = 162.61/x
  3. Step 3: Cross multiply
    422.39x = 633.87 × 162.61
  4. Step 4: Simplify right side
    422.39x = 103,073.60
  5. Step 5: Solve for x
    x = 103,073.60/422.39
  6. Step 6: Final answer
    x = 244.02

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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.