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Finding the Fourth Proportional to 281.49, 422 and 220.89

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Solution

The fourth proportional to 281.49, 422 and 220.89 is: 331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.49 : 422 = 220.89 : x
  2. Step 2: Convert to fraction form
    281.49/422 = 220.89/x
  3. Step 3: Cross multiply
    281.49x = 422 × 220.89
  4. Step 4: Simplify right side
    281.49x = 93,215.58
  5. Step 5: Solve for x
    x = 93,215.58/281.49
  6. Step 6: Final answer
    x = 331.15

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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.