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Finding the Fourth Proportional to 163.43, 244.82 and 76.65

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Solution

The fourth proportional to 163.43, 244.82 and 76.65 is: 114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.43 : 244.82 = 76.65 : x
  2. Step 2: Convert to fraction form
    163.43/244.82 = 76.65/x
  3. Step 3: Cross multiply
    163.43x = 244.82 × 76.65
  4. Step 4: Simplify right side
    163.43x = 18,764.73
  5. Step 5: Solve for x
    x = 18,764.73/163.43
  6. Step 6: Final answer
    x = 114.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.