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Finding the Fourth Proportional to 169.40, 232.78 and 142.40

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Solution

The fourth proportional to 169.40, 232.78 and 142.40 is: 195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.40 : 232.78 = 142.40 : x
  2. Step 2: Convert to fraction form
    169.40/232.78 = 142.40/x
  3. Step 3: Cross multiply
    169.40x = 232.78 × 142.40
  4. Step 4: Simplify right side
    169.40x = 33,147.87
  5. Step 5: Solve for x
    x = 33,147.87/169.40
  6. Step 6: Final answer
    x = 195.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.