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Finding the Fourth Proportional to 163.38, 244.74 and 76.59

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Solution

The fourth proportional to 163.38, 244.74 and 76.59 is: 114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.38 : 244.74 = 76.59 : x
  2. Step 2: Convert to fraction form
    163.38/244.74 = 76.59/x
  3. Step 3: Cross multiply
    163.38x = 244.74 × 76.59
  4. Step 4: Simplify right side
    163.38x = 18,744.64
  5. Step 5: Solve for x
    x = 18,744.64/163.38
  6. Step 6: Final answer
    x = 114.73

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Why These Related Problems?

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