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Finding the Fourth Proportional to 169.67, 234.05 and 123.20

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Solution

The fourth proportional to 169.67, 234.05 and 123.20 is: 169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.67 : 234.05 = 123.20 : x
  2. Step 2: Convert to fraction form
    169.67/234.05 = 123.20/x
  3. Step 3: Cross multiply
    169.67x = 234.05 × 123.20
  4. Step 4: Simplify right side
    169.67x = 28,834.96
  5. Step 5: Solve for x
    x = 28,834.96/169.67
  6. Step 6: Final answer
    x = 169.95

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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.