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Finding the Fourth Proportional to 871.31, 1,306.65 and 254.86

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Solution

The fourth proportional to 871.31, 1,306.65 and 254.86 is: 382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.31 : 1,306.65 = 254.86 : x
  2. Step 2: Convert to fraction form
    871.31/1,306.65 = 254.86/x
  3. Step 3: Cross multiply
    871.31x = 1,306.65 × 254.86
  4. Step 4: Simplify right side
    871.31x = 333,012.82
  5. Step 5: Solve for x
    x = 333,012.82/871.31
  6. Step 6: Final answer
    x = 382.20

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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.