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Finding the Fourth Proportional to 181.88, 250.92 and 119.78

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Solution

The fourth proportional to 181.88, 250.92 and 119.78 is: 165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.88 : 250.92 = 119.78 : x
  2. Step 2: Convert to fraction form
    181.88/250.92 = 119.78/x
  3. Step 3: Cross multiply
    181.88x = 250.92 × 119.78
  4. Step 4: Simplify right side
    181.88x = 30,055.20
  5. Step 5: Solve for x
    x = 30,055.20/181.88
  6. Step 6: Final answer
    x = 165.25

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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.