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Finding the Fourth Proportional to 169.34, 231.94 and 161.12

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Solution

The fourth proportional to 169.34, 231.94 and 161.12 is: 220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.34 : 231.94 = 161.12 : x
  2. Step 2: Convert to fraction form
    169.34/231.94 = 161.12/x
  3. Step 3: Cross multiply
    169.34x = 231.94 × 161.12
  4. Step 4: Simplify right side
    169.34x = 37,370.17
  5. Step 5: Solve for x
    x = 37,370.17/169.34
  6. Step 6: Final answer
    x = 220.68

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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.