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Finding the Fourth Proportional to 195.71, 270.09 and 108.41

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Solution

The fourth proportional to 195.71, 270.09 and 108.41 is: 149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.71 : 270.09 = 108.41 : x
  2. Step 2: Convert to fraction form
    195.71/270.09 = 108.41/x
  3. Step 3: Cross multiply
    195.71x = 270.09 × 108.41
  4. Step 4: Simplify right side
    195.71x = 29,279.11
  5. Step 5: Solve for x
    x = 29,279.11/195.71
  6. Step 6: Final answer
    x = 149.61

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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.