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Finding the Fourth Proportional to 199.09, 300.11 and 190.85

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Solution

The fourth proportional to 199.09, 300.11 and 190.85 is: 287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.09 : 300.11 = 190.85 : x
  2. Step 2: Convert to fraction form
    199.09/300.11 = 190.85/x
  3. Step 3: Cross multiply
    199.09x = 300.11 × 190.85
  4. Step 4: Simplify right side
    199.09x = 57,275.99
  5. Step 5: Solve for x
    x = 57,275.99/199.09
  6. Step 6: Final answer
    x = 287.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.