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Finding the Fourth Proportional to 180.82, 249.36 and 151.34

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Solution

The fourth proportional to 180.82, 249.36 and 151.34 is: 208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.82 : 249.36 = 151.34 : x
  2. Step 2: Convert to fraction form
    180.82/249.36 = 151.34/x
  3. Step 3: Cross multiply
    180.82x = 249.36 × 151.34
  4. Step 4: Simplify right side
    180.82x = 37,738.14
  5. Step 5: Solve for x
    x = 37,738.14/180.82
  6. Step 6: Final answer
    x = 208.71

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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.