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Finding the Fourth Proportional to 281.20, 422.20 and 200.56

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Solution

The fourth proportional to 281.20, 422.20 and 200.56 is: 301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.20 : 422.20 = 200.56 : x
  2. Step 2: Convert to fraction form
    281.20/422.20 = 200.56/x
  3. Step 3: Cross multiply
    281.20x = 422.20 × 200.56
  4. Step 4: Simplify right side
    281.20x = 84,676.43
  5. Step 5: Solve for x
    x = 84,676.43/281.20
  6. Step 6: Final answer
    x = 301.13

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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.