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Finding the Fourth Proportional to 869.97, 1,304.96 and 220.70

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Solution

The fourth proportional to 869.97, 1,304.96 and 220.70 is: 331.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.97 : 1,304.96 = 220.70 : x
  2. Step 2: Convert to fraction form
    869.97/1,304.96 = 220.70/x
  3. Step 3: Cross multiply
    869.97x = 1,304.96 × 220.70
  4. Step 4: Simplify right side
    869.97x = 288,006.83
  5. Step 5: Solve for x
    x = 288,006.83/869.97
  6. Step 6: Final answer
    x = 331.06

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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.