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Finding the Fourth Proportional to 180.46, 269.42 and 163.45

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Solution

The fourth proportional to 180.46, 269.42 and 163.45 is: 244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.46 : 269.42 = 163.45 : x
  2. Step 2: Convert to fraction form
    180.46/269.42 = 163.45/x
  3. Step 3: Cross multiply
    180.46x = 269.42 × 163.45
  4. Step 4: Simplify right side
    180.46x = 44,036.70
  5. Step 5: Solve for x
    x = 44,036.70/180.46
  6. Step 6: Final answer
    x = 244.02

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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.