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Finding the Fourth Proportional to 299.22, 449.20 and 285.37

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Solution

The fourth proportional to 299.22, 449.20 and 285.37 is: 428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.22 : 449.20 = 285.37 : x
  2. Step 2: Convert to fraction form
    299.22/449.20 = 285.37/x
  3. Step 3: Cross multiply
    299.22x = 449.20 × 285.37
  4. Step 4: Simplify right side
    299.22x = 128,187.44
  5. Step 5: Solve for x
    x = 128,187.44/299.22
  6. Step 6: Final answer
    x = 428.41

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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.