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Finding the Fourth Proportional to 180.98, 249.63 and 118.83

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Solution

The fourth proportional to 180.98, 249.63 and 118.83 is: 163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.98 : 249.63 = 118.83 : x
  2. Step 2: Convert to fraction form
    180.98/249.63 = 118.83/x
  3. Step 3: Cross multiply
    180.98x = 249.63 × 118.83
  4. Step 4: Simplify right side
    180.98x = 29,663.53
  5. Step 5: Solve for x
    x = 29,663.53/180.98
  6. Step 6: Final answer
    x = 163.91

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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.