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Finding the Fourth Proportional to 490.13, 675.90 and 321.83

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Solution

The fourth proportional to 490.13, 675.90 and 321.83 is: 443.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.13 : 675.90 = 321.83 : x
  2. Step 2: Convert to fraction form
    490.13/675.90 = 321.83/x
  3. Step 3: Cross multiply
    490.13x = 675.90 × 321.83
  4. Step 4: Simplify right side
    490.13x = 217,524.90
  5. Step 5: Solve for x
    x = 217,524.90/490.13
  6. Step 6: Final answer
    x = 443.81

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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.