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Finding the Fourth Proportional to 742.11, 1,112.85 and 255.21

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Solution

The fourth proportional to 742.11, 1,112.85 and 255.21 is: 382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.11 : 1,112.85 = 255.21 : x
  2. Step 2: Convert to fraction form
    742.11/1,112.85 = 255.21/x
  3. Step 3: Cross multiply
    742.11x = 1,112.85 × 255.21
  4. Step 4: Simplify right side
    742.11x = 284,010.45
  5. Step 5: Solve for x
    x = 284,010.45/742.11
  6. Step 6: Final answer
    x = 382.71

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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.