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Finding the Fourth Proportional to 166.35, 229.45 and 116.56

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Solution

The fourth proportional to 166.35, 229.45 and 116.56 is: 160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.35 : 229.45 = 116.56 : x
  2. Step 2: Convert to fraction form
    166.35/229.45 = 116.56/x
  3. Step 3: Cross multiply
    166.35x = 229.45 × 116.56
  4. Step 4: Simplify right side
    166.35x = 26,743.62
  5. Step 5: Solve for x
    x = 26,743.62/166.35
  6. Step 6: Final answer
    x = 160.76

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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.