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Finding the Fourth Proportional to 163.30, 226.86 and 161.80

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Solution

The fourth proportional to 163.30, 226.86 and 161.80 is: 224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.30 : 226.86 = 161.80 : x
  2. Step 2: Convert to fraction form
    163.30/226.86 = 161.80/x
  3. Step 3: Cross multiply
    163.30x = 226.86 × 161.80
  4. Step 4: Simplify right side
    163.30x = 36,705.95
  5. Step 5: Solve for x
    x = 36,705.95/163.30
  6. Step 6: Final answer
    x = 224.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.