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Finding the Fourth Proportional to 299.60, 449.09 and 285.22

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Solution

The fourth proportional to 299.60, 449.09 and 285.22 is: 427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.60 : 449.09 = 285.22 : x
  2. Step 2: Convert to fraction form
    299.60/449.09 = 285.22/x
  3. Step 3: Cross multiply
    299.60x = 449.09 × 285.22
  4. Step 4: Simplify right side
    299.60x = 128,089.45
  5. Step 5: Solve for x
    x = 128,089.45/299.60
  6. Step 6: Final answer
    x = 427.53

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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.