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Finding the Fourth Proportional to 181.97, 251.19 and 122.99

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Solution

The fourth proportional to 181.97, 251.19 and 122.99 is: 169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.97 : 251.19 = 122.99 : x
  2. Step 2: Convert to fraction form
    181.97/251.19 = 122.99/x
  3. Step 3: Cross multiply
    181.97x = 251.19 × 122.99
  4. Step 4: Simplify right side
    181.97x = 30,894.49
  5. Step 5: Solve for x
    x = 30,894.49/181.97
  6. Step 6: Final answer
    x = 169.78

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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.