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Finding the Fourth Proportional to 141.78, 195.46 and 108.97

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Solution

The fourth proportional to 141.78, 195.46 and 108.97 is: 150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.78 : 195.46 = 108.97 : x
  2. Step 2: Convert to fraction form
    141.78/195.46 = 108.97/x
  3. Step 3: Cross multiply
    141.78x = 195.46 × 108.97
  4. Step 4: Simplify right side
    141.78x = 21,299.28
  5. Step 5: Solve for x
    x = 21,299.28/141.78
  6. Step 6: Final answer
    x = 150.23

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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.