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Finding the Fourth Proportional to 299.94, 449.10 and 270.78

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Solution

The fourth proportional to 299.94, 449.10 and 270.78 is: 405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.94 : 449.10 = 270.78 : x
  2. Step 2: Convert to fraction form
    299.94/449.10 = 270.78/x
  3. Step 3: Cross multiply
    299.94x = 449.10 × 270.78
  4. Step 4: Simplify right side
    299.94x = 121,607.30
  5. Step 5: Solve for x
    x = 121,607.30/299.94
  6. Step 6: Final answer
    x = 405.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.