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Finding the Fourth Proportional to 490.23, 676.49 and 303.68

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Solution

The fourth proportional to 490.23, 676.49 and 303.68 is: 419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.23 : 676.49 = 303.68 : x
  2. Step 2: Convert to fraction form
    490.23/676.49 = 303.68/x
  3. Step 3: Cross multiply
    490.23x = 676.49 × 303.68
  4. Step 4: Simplify right side
    490.23x = 205,436.66
  5. Step 5: Solve for x
    x = 205,436.66/490.23
  6. Step 6: Final answer
    x = 419.06

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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.