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Finding the Fourth Proportional to 286.31, 395.11 and 169.88

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Solution

The fourth proportional to 286.31, 395.11 and 169.88 is: 234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.31 : 395.11 = 169.88 : x
  2. Step 2: Convert to fraction form
    286.31/395.11 = 169.88/x
  3. Step 3: Cross multiply
    286.31x = 395.11 × 169.88
  4. Step 4: Simplify right side
    286.31x = 67,119.52
  5. Step 5: Solve for x
    x = 67,119.52/286.31
  6. Step 6: Final answer
    x = 234.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.