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Finding the Fourth Proportional to 181.49, 249.62 and 144.23

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Solution

The fourth proportional to 181.49, 249.62 and 144.23 is: 198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.49 : 249.62 = 144.23 : x
  2. Step 2: Convert to fraction form
    181.49/249.62 = 144.23/x
  3. Step 3: Cross multiply
    181.49x = 249.62 × 144.23
  4. Step 4: Simplify right side
    181.49x = 36,000.72
  5. Step 5: Solve for x
    x = 36,000.72/181.49
  6. Step 6: Final answer
    x = 198.37

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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.