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Finding the Fourth Proportional to 195.97, 270.43 and 108.64

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Solution

The fourth proportional to 195.97, 270.43 and 108.64 is: 149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.97 : 270.43 = 108.64 : x
  2. Step 2: Convert to fraction form
    195.97/270.43 = 108.64/x
  3. Step 3: Cross multiply
    195.97x = 270.43 × 108.64
  4. Step 4: Simplify right side
    195.97x = 29,379.52
  5. Step 5: Solve for x
    x = 29,379.52/195.97
  6. Step 6: Final answer
    x = 149.92

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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.