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Finding the Fourth Proportional to 326.33, 490.11 and 299.23

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Solution

The fourth proportional to 326.33, 490.11 and 299.23 is: 449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.33 : 490.11 = 299.23 : x
  2. Step 2: Convert to fraction form
    326.33/490.11 = 299.23/x
  3. Step 3: Cross multiply
    326.33x = 490.11 × 299.23
  4. Step 4: Simplify right side
    326.33x = 146,655.11
  5. Step 5: Solve for x
    x = 146,655.11/326.33
  6. Step 6: Final answer
    x = 449.40

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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.