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Finding the Fourth Proportional to 326.65, 449.85 and 305.80

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Solution

The fourth proportional to 326.65, 449.85 and 305.80 is: 421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.65 : 449.85 = 305.80 : x
  2. Step 2: Convert to fraction form
    326.65/449.85 = 305.80/x
  3. Step 3: Cross multiply
    326.65x = 449.85 × 305.80
  4. Step 4: Simplify right side
    326.65x = 137,563.28
  5. Step 5: Solve for x
    x = 137,563.28/326.65
  6. Step 6: Final answer
    x = 421.13

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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.