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Finding the Fourth Proportional to 490.26, 676.21 and 303.55

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Solution

The fourth proportional to 490.26, 676.21 and 303.55 is: 418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.26 : 676.21 = 303.55 : x
  2. Step 2: Convert to fraction form
    490.26/676.21 = 303.55/x
  3. Step 3: Cross multiply
    490.26x = 676.21 × 303.55
  4. Step 4: Simplify right side
    490.26x = 205,263.55
  5. Step 5: Solve for x
    x = 205,263.55/490.26
  6. Step 6: Final answer
    x = 418.68

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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.