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Finding the Fourth Proportional to 299, 445.78 and 280.64

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Solution

The fourth proportional to 299, 445.78 and 280.64 is: 418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299 : 445.78 = 280.64 : x
  2. Step 2: Convert to fraction form
    299/445.78 = 280.64/x
  3. Step 3: Cross multiply
    299x = 445.78 × 280.64
  4. Step 4: Simplify right side
    299x = 125,103.70
  5. Step 5: Solve for x
    x = 125,103.70/299
  6. Step 6: Final answer
    x = 418.41

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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.