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Finding the Fourth Proportional to 180.38, 249.01 and 149.40

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Solution

The fourth proportional to 180.38, 249.01 and 149.40 is: 206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 249.01 = 149.40 : x
  2. Step 2: Convert to fraction form
    180.38/249.01 = 149.40/x
  3. Step 3: Cross multiply
    180.38x = 249.01 × 149.40
  4. Step 4: Simplify right side
    180.38x = 37,201.72
  5. Step 5: Solve for x
    x = 37,201.72/180.38
  6. Step 6: Final answer
    x = 206.24

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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.