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Finding the Fourth Proportional to 169.80, 232.75 and 166.96

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Solution

The fourth proportional to 169.80, 232.75 and 166.96 is: 228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.80 : 232.75 = 166.96 : x
  2. Step 2: Convert to fraction form
    169.80/232.75 = 166.96/x
  3. Step 3: Cross multiply
    169.80x = 232.75 × 166.96
  4. Step 4: Simplify right side
    169.80x = 38,859.94
  5. Step 5: Solve for x
    x = 38,859.94/169.80
  6. Step 6: Final answer
    x = 228.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.