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Finding the Fourth Proportional to 299.38, 446 and 280.75

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Solution

The fourth proportional to 299.38, 446 and 280.75 is: 418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.38 : 446 = 280.75 : x
  2. Step 2: Convert to fraction form
    299.38/446 = 280.75/x
  3. Step 3: Cross multiply
    299.38x = 446 × 280.75
  4. Step 4: Simplify right side
    299.38x = 125,214.50
  5. Step 5: Solve for x
    x = 125,214.50/299.38
  6. Step 6: Final answer
    x = 418.25

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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.