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Finding the Fourth Proportional to 166.82, 231.19 and 163.58

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Solution

The fourth proportional to 166.82, 231.19 and 163.58 is: 226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.82 : 231.19 = 163.58 : x
  2. Step 2: Convert to fraction form
    166.82/231.19 = 163.58/x
  3. Step 3: Cross multiply
    166.82x = 231.19 × 163.58
  4. Step 4: Simplify right side
    166.82x = 37,818.54
  5. Step 5: Solve for x
    x = 37,818.54/166.82
  6. Step 6: Final answer
    x = 226.70

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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.