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Finding the Fourth Proportional to 490.24, 676.92 and 303.94

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Solution

The fourth proportional to 490.24, 676.92 and 303.94 is: 419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.24 : 676.92 = 303.94 : x
  2. Step 2: Convert to fraction form
    490.24/676.92 = 303.94/x
  3. Step 3: Cross multiply
    490.24x = 676.92 × 303.94
  4. Step 4: Simplify right side
    490.24x = 205,743.06
  5. Step 5: Solve for x
    x = 205,743.06/490.24
  6. Step 6: Final answer
    x = 419.68

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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.