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Finding the Fourth Proportional to 169.39, 233.69 and 120.22

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Solution

The fourth proportional to 169.39, 233.69 and 120.22 is: 165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.39 : 233.69 = 120.22 : x
  2. Step 2: Convert to fraction form
    169.39/233.69 = 120.22/x
  3. Step 3: Cross multiply
    169.39x = 233.69 × 120.22
  4. Step 4: Simplify right side
    169.39x = 28,093.03
  5. Step 5: Solve for x
    x = 28,093.03/169.39
  6. Step 6: Final answer
    x = 165.85

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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.