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Finding the Fourth Proportional to 166.18, 229.25 and 100.65

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Solution

The fourth proportional to 166.18, 229.25 and 100.65 is: 138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.18 : 229.25 = 100.65 : x
  2. Step 2: Convert to fraction form
    166.18/229.25 = 100.65/x
  3. Step 3: Cross multiply
    166.18x = 229.25 × 100.65
  4. Step 4: Simplify right side
    166.18x = 23,072.87
  5. Step 5: Solve for x
    x = 23,072.87/166.18
  6. Step 6: Final answer
    x = 138.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.