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Finding the Fourth Proportional to 299.96, 414.09 and 201.79

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Solution

The fourth proportional to 299.96, 414.09 and 201.79 is: 278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.96 : 414.09 = 201.79 : x
  2. Step 2: Convert to fraction form
    299.96/414.09 = 201.79/x
  3. Step 3: Cross multiply
    299.96x = 414.09 × 201.79
  4. Step 4: Simplify right side
    299.96x = 83,559.22
  5. Step 5: Solve for x
    x = 83,559.22/299.96
  6. Step 6: Final answer
    x = 278.57

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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.