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Finding the Fourth Proportional to 169.39, 233.66 and 122.69

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Solution

The fourth proportional to 169.39, 233.66 and 122.69 is: 169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.39 : 233.66 = 122.69 : x
  2. Step 2: Convert to fraction form
    169.39/233.66 = 122.69/x
  3. Step 3: Cross multiply
    169.39x = 233.66 × 122.69
  4. Step 4: Simplify right side
    169.39x = 28,667.63
  5. Step 5: Solve for x
    x = 28,667.63/169.39
  6. Step 6: Final answer
    x = 169.24

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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.