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Finding the Fourth Proportional to 163.96, 244.65 and 149.38

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Solution

The fourth proportional to 163.96, 244.65 and 149.38 is: 222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.96 : 244.65 = 149.38 : x
  2. Step 2: Convert to fraction form
    163.96/244.65 = 149.38/x
  3. Step 3: Cross multiply
    163.96x = 244.65 × 149.38
  4. Step 4: Simplify right side
    163.96x = 36,545.77
  5. Step 5: Solve for x
    x = 36,545.77/163.96
  6. Step 6: Final answer
    x = 222.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.