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Finding the Fourth Proportional to 167.29, 230.78 and 105.09

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Solution

The fourth proportional to 167.29, 230.78 and 105.09 is: 144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.29 : 230.78 = 105.09 : x
  2. Step 2: Convert to fraction form
    167.29/230.78 = 105.09/x
  3. Step 3: Cross multiply
    167.29x = 230.78 × 105.09
  4. Step 4: Simplify right side
    167.29x = 24,252.67
  5. Step 5: Solve for x
    x = 24,252.67/167.29
  6. Step 6: Final answer
    x = 144.97

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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.