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Finding the Fourth Proportional to 166.58, 230.17 and 120.11

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Solution

The fourth proportional to 166.58, 230.17 and 120.11 is: 165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.58 : 230.17 = 120.11 : x
  2. Step 2: Convert to fraction form
    166.58/230.17 = 120.11/x
  3. Step 3: Cross multiply
    166.58x = 230.17 × 120.11
  4. Step 4: Simplify right side
    166.58x = 27,645.72
  5. Step 5: Solve for x
    x = 27,645.72/166.58
  6. Step 6: Final answer
    x = 165.96

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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.