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Finding the Fourth Proportional to 169.47, 233.92 and 120.49

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Solution

The fourth proportional to 169.47, 233.92 and 120.49 is: 166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.47 : 233.92 = 120.49 : x
  2. Step 2: Convert to fraction form
    169.47/233.92 = 120.49/x
  3. Step 3: Cross multiply
    169.47x = 233.92 × 120.49
  4. Step 4: Simplify right side
    169.47x = 28,183.70
  5. Step 5: Solve for x
    x = 28,183.70/169.47
  6. Step 6: Final answer
    x = 166.31

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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.