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Finding the Fourth Proportional to 422.18, 633.31 and 199.83

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Solution

The fourth proportional to 422.18, 633.31 and 199.83 is: 299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.18 : 633.31 = 199.83 : x
  2. Step 2: Convert to fraction form
    422.18/633.31 = 199.83/x
  3. Step 3: Cross multiply
    422.18x = 633.31 × 199.83
  4. Step 4: Simplify right side
    422.18x = 126,553.84
  5. Step 5: Solve for x
    x = 126,553.84/422.18
  6. Step 6: Final answer
    x = 299.77

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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.