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Finding the Fourth Proportional to 180.78, 249.39 and 118.58

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Solution

The fourth proportional to 180.78, 249.39 and 118.58 is: 163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.78 : 249.39 = 118.58 : x
  2. Step 2: Convert to fraction form
    180.78/249.39 = 118.58/x
  3. Step 3: Cross multiply
    180.78x = 249.39 × 118.58
  4. Step 4: Simplify right side
    180.78x = 29,573.29
  5. Step 5: Solve for x
    x = 29,573.29/180.78
  6. Step 6: Final answer
    x = 163.59

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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.