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Finding the Fourth Proportional to 742.21, 1,113.28 and 255.27

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Solution

The fourth proportional to 742.21, 1,113.28 and 255.27 is: 382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.21 : 1,113.28 = 255.27 : x
  2. Step 2: Convert to fraction form
    742.21/1,113.28 = 255.27/x
  3. Step 3: Cross multiply
    742.21x = 1,113.28 × 255.27
  4. Step 4: Simplify right side
    742.21x = 284,186.99
  5. Step 5: Solve for x
    x = 284,186.99/742.21
  6. Step 6: Final answer
    x = 382.89

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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.