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Finding the Fourth Proportional to 180.73, 269.75 and 166.30

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Solution

The fourth proportional to 180.73, 269.75 and 166.30 is: 248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.73 : 269.75 = 166.30 : x
  2. Step 2: Convert to fraction form
    180.73/269.75 = 166.30/x
  3. Step 3: Cross multiply
    180.73x = 269.75 × 166.30
  4. Step 4: Simplify right side
    180.73x = 44,859.43
  5. Step 5: Solve for x
    x = 44,859.43/180.73
  6. Step 6: Final answer
    x = 248.21

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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.