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Finding the Fourth Proportional to 169.09, 231.73 and 168.82

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Solution

The fourth proportional to 169.09, 231.73 and 168.82 is: 231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.09 : 231.73 = 168.82 : x
  2. Step 2: Convert to fraction form
    169.09/231.73 = 168.82/x
  3. Step 3: Cross multiply
    169.09x = 231.73 × 168.82
  4. Step 4: Simplify right side
    169.09x = 39,119.66
  5. Step 5: Solve for x
    x = 39,119.66/169.09
  6. Step 6: Final answer
    x = 231.36

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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.