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Finding the Fourth Proportional to 299.26, 447.14 and 220.84

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Solution

The fourth proportional to 299.26, 447.14 and 220.84 is: 329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.26 : 447.14 = 220.84 : x
  2. Step 2: Convert to fraction form
    299.26/447.14 = 220.84/x
  3. Step 3: Cross multiply
    299.26x = 447.14 × 220.84
  4. Step 4: Simplify right side
    299.26x = 98,745.83
  5. Step 5: Solve for x
    x = 98,745.83/299.26
  6. Step 6: Final answer
    x = 329.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.