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Finding the Fourth Proportional to 166.96, 230.52 and 108.82

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Solution

The fourth proportional to 166.96, 230.52 and 108.82 is: 150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.96 : 230.52 = 108.82 : x
  2. Step 2: Convert to fraction form
    166.96/230.52 = 108.82/x
  3. Step 3: Cross multiply
    166.96x = 230.52 × 108.82
  4. Step 4: Simplify right side
    166.96x = 25,085.19
  5. Step 5: Solve for x
    x = 25,085.19/166.96
  6. Step 6: Final answer
    x = 150.25

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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.