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Finding the Fourth Proportional to 286.92, 428.22 and 262.44

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Solution

The fourth proportional to 286.92, 428.22 and 262.44 is: 391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.92 : 428.22 = 262.44 : x
  2. Step 2: Convert to fraction form
    286.92/428.22 = 262.44/x
  3. Step 3: Cross multiply
    286.92x = 428.22 × 262.44
  4. Step 4: Simplify right side
    286.92x = 112,382.06
  5. Step 5: Solve for x
    x = 112,382.06/286.92
  6. Step 6: Final answer
    x = 391.68

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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.