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Finding the Fourth Proportional to 490.08, 676.37 and 280.28

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Solution

The fourth proportional to 490.08, 676.37 and 280.28 is: 386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.08 : 676.37 = 280.28 : x
  2. Step 2: Convert to fraction form
    490.08/676.37 = 280.28/x
  3. Step 3: Cross multiply
    490.08x = 676.37 × 280.28
  4. Step 4: Simplify right side
    490.08x = 189,573.27
  5. Step 5: Solve for x
    x = 189,573.27/490.08
  6. Step 6: Final answer
    x = 386.82

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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.