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Finding the Fourth Proportional to 256, 382.06 and 231.39

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Solution

The fourth proportional to 256, 382.06 and 231.39 is: 345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 382.06 = 231.39 : x
  2. Step 2: Convert to fraction form
    256/382.06 = 231.39/x
  3. Step 3: Cross multiply
    256x = 382.06 × 231.39
  4. Step 4: Simplify right side
    256x = 88,404.86
  5. Step 5: Solve for x
    x = 88,404.86/256
  6. Step 6: Final answer
    x = 345.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.