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Finding the Fourth Proportional to 166.96, 232.01 and 165.30

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Solution

The fourth proportional to 166.96, 232.01 and 165.30 is: 229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.96 : 232.01 = 165.30 : x
  2. Step 2: Convert to fraction form
    166.96/232.01 = 165.30/x
  3. Step 3: Cross multiply
    166.96x = 232.01 × 165.30
  4. Step 4: Simplify right side
    166.96x = 38,351.25
  5. Step 5: Solve for x
    x = 38,351.25/166.96
  6. Step 6: Final answer
    x = 229.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.