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Finding the Fourth Proportional to 123.39, 169.26 and 122.31

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Solution

The fourth proportional to 123.39, 169.26 and 122.31 is: 167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.39 : 169.26 = 122.31 : x
  2. Step 2: Convert to fraction form
    123.39/169.26 = 122.31/x
  3. Step 3: Cross multiply
    123.39x = 169.26 × 122.31
  4. Step 4: Simplify right side
    123.39x = 20,702.19
  5. Step 5: Solve for x
    x = 20,702.19/123.39
  6. Step 6: Final answer
    x = 167.78

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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.