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Finding the Fourth Proportional to 240.06, 331.09 and 181.14

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Solution

The fourth proportional to 240.06, 331.09 and 181.14 is: 249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.06 : 331.09 = 181.14 : x
  2. Step 2: Convert to fraction form
    240.06/331.09 = 181.14/x
  3. Step 3: Cross multiply
    240.06x = 331.09 × 181.14
  4. Step 4: Simplify right side
    240.06x = 59,971.95
  5. Step 5: Solve for x
    x = 59,971.95/240.06
  6. Step 6: Final answer
    x = 249.82

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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.