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Finding the Fourth Proportional to 180.65, 269.05 and 169.41

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Solution

The fourth proportional to 180.65, 269.05 and 169.41 is: 252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.65 : 269.05 = 169.41 : x
  2. Step 2: Convert to fraction form
    180.65/269.05 = 169.41/x
  3. Step 3: Cross multiply
    180.65x = 269.05 × 169.41
  4. Step 4: Simplify right side
    180.65x = 45,579.76
  5. Step 5: Solve for x
    x = 45,579.76/180.65
  6. Step 6: Final answer
    x = 252.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.