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Finding the Fourth Proportional to 180.81, 249.41 and 149.54

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Solution

The fourth proportional to 180.81, 249.41 and 149.54 is: 206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.81 : 249.41 = 149.54 : x
  2. Step 2: Convert to fraction form
    180.81/249.41 = 149.54/x
  3. Step 3: Cross multiply
    180.81x = 249.41 × 149.54
  4. Step 4: Simplify right side
    180.81x = 37,296.77
  5. Step 5: Solve for x
    x = 37,296.77/180.81
  6. Step 6: Final answer
    x = 206.28

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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.