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Finding the Fourth Proportional to 811.38, 1,217.18 and 255.96

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Solution

The fourth proportional to 811.38, 1,217.18 and 255.96 is: 383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.38 : 1,217.18 = 255.96 : x
  2. Step 2: Convert to fraction form
    811.38/1,217.18 = 255.96/x
  3. Step 3: Cross multiply
    811.38x = 1,217.18 × 255.96
  4. Step 4: Simplify right side
    811.38x = 311,549.39
  5. Step 5: Solve for x
    x = 311,549.39/811.38
  6. Step 6: Final answer
    x = 383.97

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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.