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Finding the Fourth Proportional to 167.49, 230.25 and 142.79

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Solution

The fourth proportional to 167.49, 230.25 and 142.79 is: 196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.49 : 230.25 = 142.79 : x
  2. Step 2: Convert to fraction form
    167.49/230.25 = 142.79/x
  3. Step 3: Cross multiply
    167.49x = 230.25 × 142.79
  4. Step 4: Simplify right side
    167.49x = 32,876.25
  5. Step 5: Solve for x
    x = 32,876.25/167.49
  6. Step 6: Final answer
    x = 196.29

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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.