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Finding the Fourth Proportional to 281.29, 422.11 and 198.97

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Solution

The fourth proportional to 281.29, 422.11 and 198.97 is: 298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.29 : 422.11 = 198.97 : x
  2. Step 2: Convert to fraction form
    281.29/422.11 = 198.97/x
  3. Step 3: Cross multiply
    281.29x = 422.11 × 198.97
  4. Step 4: Simplify right side
    281.29x = 83,987.23
  5. Step 5: Solve for x
    x = 83,987.23/281.29
  6. Step 6: Final answer
    x = 298.58

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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.