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Finding the Fourth Proportional to 167.66, 231.14 and 144.32

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Solution

The fourth proportional to 167.66, 231.14 and 144.32 is: 198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.66 : 231.14 = 144.32 : x
  2. Step 2: Convert to fraction form
    167.66/231.14 = 144.32/x
  3. Step 3: Cross multiply
    167.66x = 231.14 × 144.32
  4. Step 4: Simplify right side
    167.66x = 33,358.12
  5. Step 5: Solve for x
    x = 33,358.12/167.66
  6. Step 6: Final answer
    x = 198.96

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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.