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Finding the Fourth Proportional to 871.75, 1,307.40 and 255.28

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Solution

The fourth proportional to 871.75, 1,307.40 and 255.28 is: 382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.75 : 1,307.40 = 255.28 : x
  2. Step 2: Convert to fraction form
    871.75/1,307.40 = 255.28/x
  3. Step 3: Cross multiply
    871.75x = 1,307.40 × 255.28
  4. Step 4: Simplify right side
    871.75x = 333,753.07
  5. Step 5: Solve for x
    x = 333,753.07/871.75
  6. Step 6: Final answer
    x = 382.85

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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.