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Finding the Fourth Proportional to 169.88, 232.57 and 165.56

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Solution

The fourth proportional to 169.88, 232.57 and 165.56 is: 226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.88 : 232.57 = 165.56 : x
  2. Step 2: Convert to fraction form
    169.88/232.57 = 165.56/x
  3. Step 3: Cross multiply
    169.88x = 232.57 × 165.56
  4. Step 4: Simplify right side
    169.88x = 38,504.29
  5. Step 5: Solve for x
    x = 38,504.29/169.88
  6. Step 6: Final answer
    x = 226.66

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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.