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Finding the Fourth Proportional to 166.19, 229.38 and 96.23

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Solution

The fourth proportional to 166.19, 229.38 and 96.23 is: 132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.19 : 229.38 = 96.23 : x
  2. Step 2: Convert to fraction form
    166.19/229.38 = 96.23/x
  3. Step 3: Cross multiply
    166.19x = 229.38 × 96.23
  4. Step 4: Simplify right side
    166.19x = 22,073.45
  5. Step 5: Solve for x
    x = 22,073.45/166.19
  6. Step 6: Final answer
    x = 132.82

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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.