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Finding the Fourth Proportional to 887.49, 1,331.31 and 271.20

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Solution

The fourth proportional to 887.49, 1,331.31 and 271.20 is: 406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.49 : 1,331.31 = 271.20 : x
  2. Step 2: Convert to fraction form
    887.49/1,331.31 = 271.20/x
  3. Step 3: Cross multiply
    887.49x = 1,331.31 × 271.20
  4. Step 4: Simplify right side
    887.49x = 361,049.92
  5. Step 5: Solve for x
    x = 361,049.92/887.49
  6. Step 6: Final answer
    x = 406.82

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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.