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Finding the Fourth Proportional to 181.11, 249.98 and 118.11

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Solution

The fourth proportional to 181.11, 249.98 and 118.11 is: 163.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.11 : 249.98 = 118.11 : x
  2. Step 2: Convert to fraction form
    181.11/249.98 = 118.11/x
  3. Step 3: Cross multiply
    181.11x = 249.98 × 118.11
  4. Step 4: Simplify right side
    181.11x = 29,525.14
  5. Step 5: Solve for x
    x = 29,525.14/181.11
  6. Step 6: Final answer
    x = 163.02

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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.