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Finding the Fourth Proportional to 801.44, 1,202.30 and 281.29

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Solution

The fourth proportional to 801.44, 1,202.30 and 281.29 is: 421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.44 : 1,202.30 = 281.29 : x
  2. Step 2: Convert to fraction form
    801.44/1,202.30 = 281.29/x
  3. Step 3: Cross multiply
    801.44x = 1,202.30 × 281.29
  4. Step 4: Simplify right side
    801.44x = 338,194.97
  5. Step 5: Solve for x
    x = 338,194.97/801.44
  6. Step 6: Final answer
    x = 421.98

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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.