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Finding the Fourth Proportional to 199.08, 300.12 and 186.30

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Solution

The fourth proportional to 199.08, 300.12 and 186.30 is: 280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.08 : 300.12 = 186.30 : x
  2. Step 2: Convert to fraction form
    199.08/300.12 = 186.30/x
  3. Step 3: Cross multiply
    199.08x = 300.12 × 186.30
  4. Step 4: Simplify right side
    199.08x = 55,912.36
  5. Step 5: Solve for x
    x = 55,912.36/199.08
  6. Step 6: Final answer
    x = 280.85

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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.