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Finding the Fourth Proportional to 180.28, 269.11 and 167.62

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Solution

The fourth proportional to 180.28, 269.11 and 167.62 is: 250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.28 : 269.11 = 167.62 : x
  2. Step 2: Convert to fraction form
    180.28/269.11 = 167.62/x
  3. Step 3: Cross multiply
    180.28x = 269.11 × 167.62
  4. Step 4: Simplify right side
    180.28x = 45,106.03
  5. Step 5: Solve for x
    x = 45,106.03/180.28
  6. Step 6: Final answer
    x = 250.21

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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.