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Finding the Fourth Proportional to 181.90, 249.77 and 181.18

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Solution

The fourth proportional to 181.90, 249.77 and 181.18 is: 248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.90 : 249.77 = 181.18 : x
  2. Step 2: Convert to fraction form
    181.90/249.77 = 181.18/x
  3. Step 3: Cross multiply
    181.90x = 249.77 × 181.18
  4. Step 4: Simplify right side
    181.90x = 45,253.33
  5. Step 5: Solve for x
    x = 45,253.33/181.90
  6. Step 6: Final answer
    x = 248.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.