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Finding the Fourth Proportional to 326.98, 490.50 and 199.54

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Solution

The fourth proportional to 326.98, 490.50 and 199.54 is: 299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.98 : 490.50 = 199.54 : x
  2. Step 2: Convert to fraction form
    326.98/490.50 = 199.54/x
  3. Step 3: Cross multiply
    326.98x = 490.50 × 199.54
  4. Step 4: Simplify right side
    326.98x = 97,874.37
  5. Step 5: Solve for x
    x = 97,874.37/326.98
  6. Step 6: Final answer
    x = 299.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.