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Finding the Fourth Proportional to 168.05, 231.99 and 119.18

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Solution

The fourth proportional to 168.05, 231.99 and 119.18 is: 164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.05 : 231.99 = 119.18 : x
  2. Step 2: Convert to fraction form
    168.05/231.99 = 119.18/x
  3. Step 3: Cross multiply
    168.05x = 231.99 × 119.18
  4. Step 4: Simplify right side
    168.05x = 27,648.57
  5. Step 5: Solve for x
    x = 27,648.57/168.05
  6. Step 6: Final answer
    x = 164.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.