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Finding the Fourth Proportional to 300.82, 449.86 and 286.24

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Solution

The fourth proportional to 300.82, 449.86 and 286.24 is: 428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.82 : 449.86 = 286.24 : x
  2. Step 2: Convert to fraction form
    300.82/449.86 = 286.24/x
  3. Step 3: Cross multiply
    300.82x = 449.86 × 286.24
  4. Step 4: Simplify right side
    300.82x = 128,767.93
  5. Step 5: Solve for x
    x = 128,767.93/300.82
  6. Step 6: Final answer
    x = 428.06

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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.