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Finding the Fourth Proportional to 281.25, 422.27 and 200.55

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Solution

The fourth proportional to 281.25, 422.27 and 200.55 is: 301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.25 : 422.27 = 200.55 : x
  2. Step 2: Convert to fraction form
    281.25/422.27 = 200.55/x
  3. Step 3: Cross multiply
    281.25x = 422.27 × 200.55
  4. Step 4: Simplify right side
    281.25x = 84,685.25
  5. Step 5: Solve for x
    x = 84,685.25/281.25
  6. Step 6: Final answer
    x = 301.10

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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.