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Finding the Fourth Proportional to 180.82, 269.96 and 165.43

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Solution

The fourth proportional to 180.82, 269.96 and 165.43 is: 246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.82 : 269.96 = 165.43 : x
  2. Step 2: Convert to fraction form
    180.82/269.96 = 165.43/x
  3. Step 3: Cross multiply
    180.82x = 269.96 × 165.43
  4. Step 4: Simplify right side
    180.82x = 44,659.48
  5. Step 5: Solve for x
    x = 44,659.48/180.82
  6. Step 6: Final answer
    x = 246.98

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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.