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Finding the Fourth Proportional to 166.38, 229.42 and 116.57

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Solution

The fourth proportional to 166.38, 229.42 and 116.57 is: 160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.38 : 229.42 = 116.57 : x
  2. Step 2: Convert to fraction form
    166.38/229.42 = 116.57/x
  3. Step 3: Cross multiply
    166.38x = 229.42 × 116.57
  4. Step 4: Simplify right side
    166.38x = 26,743.40
  5. Step 5: Solve for x
    x = 26,743.40/166.38
  6. Step 6: Final answer
    x = 160.74

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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.