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Finding the Fourth Proportional to 490.11, 676.50 and 280.41

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Solution

The fourth proportional to 490.11, 676.50 and 280.41 is: 387.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.11 : 676.50 = 280.41 : x
  2. Step 2: Convert to fraction form
    490.11/676.50 = 280.41/x
  3. Step 3: Cross multiply
    490.11x = 676.50 × 280.41
  4. Step 4: Simplify right side
    490.11x = 189,697.37
  5. Step 5: Solve for x
    x = 189,697.37/490.11
  6. Step 6: Final answer
    x = 387.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.