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Finding the Fourth Proportional to 169.02, 231.73 and 165.95

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Solution

The fourth proportional to 169.02, 231.73 and 165.95 is: 227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.02 : 231.73 = 165.95 : x
  2. Step 2: Convert to fraction form
    169.02/231.73 = 165.95/x
  3. Step 3: Cross multiply
    169.02x = 231.73 × 165.95
  4. Step 4: Simplify right side
    169.02x = 38,453.61
  5. Step 5: Solve for x
    x = 38,453.61/169.02
  6. Step 6: Final answer
    x = 227.51

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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.