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Finding the Fourth Proportional to 169.56, 232.65 and 166.68

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Solution

The fourth proportional to 169.56, 232.65 and 166.68 is: 228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.56 : 232.65 = 166.68 : x
  2. Step 2: Convert to fraction form
    169.56/232.65 = 166.68/x
  3. Step 3: Cross multiply
    169.56x = 232.65 × 166.68
  4. Step 4: Simplify right side
    169.56x = 38,778.10
  5. Step 5: Solve for x
    x = 38,778.10/169.56
  6. Step 6: Final answer
    x = 228.70

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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.