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Finding the Fourth Proportional to 832.26, 1,248.64 and 255.12

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Solution

The fourth proportional to 832.26, 1,248.64 and 255.12 is: 382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.26 : 1,248.64 = 255.12 : x
  2. Step 2: Convert to fraction form
    832.26/1,248.64 = 255.12/x
  3. Step 3: Cross multiply
    832.26x = 1,248.64 × 255.12
  4. Step 4: Simplify right side
    832.26x = 318,553.04
  5. Step 5: Solve for x
    x = 318,553.04/832.26
  6. Step 6: Final answer
    x = 382.76

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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.