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Finding the Fourth Proportional to 180.05, 248.42 and 106.38

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Solution

The fourth proportional to 180.05, 248.42 and 106.38 is: 146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.05 : 248.42 = 106.38 : x
  2. Step 2: Convert to fraction form
    180.05/248.42 = 106.38/x
  3. Step 3: Cross multiply
    180.05x = 248.42 × 106.38
  4. Step 4: Simplify right side
    180.05x = 26,426.39
  5. Step 5: Solve for x
    x = 26,426.39/180.05
  6. Step 6: Final answer
    x = 146.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.