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Finding the Fourth Proportional to 199.05, 299.72 and 186.90

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Solution

The fourth proportional to 199.05, 299.72 and 186.90 is: 281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.05 : 299.72 = 186.90 : x
  2. Step 2: Convert to fraction form
    199.05/299.72 = 186.90/x
  3. Step 3: Cross multiply
    199.05x = 299.72 × 186.90
  4. Step 4: Simplify right side
    199.05x = 56,016.73
  5. Step 5: Solve for x
    x = 56,016.73/199.05
  6. Step 6: Final answer
    x = 281.42

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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.