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Finding the Fourth Proportional to 166.49, 230.78 and 163.65

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Solution

The fourth proportional to 166.49, 230.78 and 163.65 is: 226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.49 : 230.78 = 163.65 : x
  2. Step 2: Convert to fraction form
    166.49/230.78 = 163.65/x
  3. Step 3: Cross multiply
    166.49x = 230.78 × 163.65
  4. Step 4: Simplify right side
    166.49x = 37,768.42
  5. Step 5: Solve for x
    x = 37,768.42/166.49
  6. Step 6: Final answer
    x = 226.85

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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.