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Finding the Fourth Proportional to 181.18, 249.42 and 137.44

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Solution

The fourth proportional to 181.18, 249.42 and 137.44 is: 189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.18 : 249.42 = 137.44 : x
  2. Step 2: Convert to fraction form
    181.18/249.42 = 137.44/x
  3. Step 3: Cross multiply
    181.18x = 249.42 × 137.44
  4. Step 4: Simplify right side
    181.18x = 34,280.28
  5. Step 5: Solve for x
    x = 34,280.28/181.18
  6. Step 6: Final answer
    x = 189.21

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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.