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Finding the Fourth Proportional to 286.74, 428.09 and 281.07

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Solution

The fourth proportional to 286.74, 428.09 and 281.07 is: 419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.74 : 428.09 = 281.07 : x
  2. Step 2: Convert to fraction form
    286.74/428.09 = 281.07/x
  3. Step 3: Cross multiply
    286.74x = 428.09 × 281.07
  4. Step 4: Simplify right side
    286.74x = 120,321.85
  5. Step 5: Solve for x
    x = 120,321.85/286.74
  6. Step 6: Final answer
    x = 419.62

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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.