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Finding the Fourth Proportional to 299.96, 447.62 and 285.38

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Solution

The fourth proportional to 299.96, 447.62 and 285.38 is: 425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.96 : 447.62 = 285.38 : x
  2. Step 2: Convert to fraction form
    299.96/447.62 = 285.38/x
  3. Step 3: Cross multiply
    299.96x = 447.62 × 285.38
  4. Step 4: Simplify right side
    299.96x = 127,741.80
  5. Step 5: Solve for x
    x = 127,741.80/299.96
  6. Step 6: Final answer
    x = 425.86

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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.