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Finding the Fourth Proportional to 167.82, 231.91 and 142.92

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Solution

The fourth proportional to 167.82, 231.91 and 142.92 is: 197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.82 : 231.91 = 142.92 : x
  2. Step 2: Convert to fraction form
    167.82/231.91 = 142.92/x
  3. Step 3: Cross multiply
    167.82x = 231.91 × 142.92
  4. Step 4: Simplify right side
    167.82x = 33,144.58
  5. Step 5: Solve for x
    x = 33,144.58/167.82
  6. Step 6: Final answer
    x = 197.50

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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.