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Finding the Fourth Proportional to 326.32, 449.94 and 233.08

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Solution

The fourth proportional to 326.32, 449.94 and 233.08 is: 321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.32 : 449.94 = 233.08 : x
  2. Step 2: Convert to fraction form
    326.32/449.94 = 233.08/x
  3. Step 3: Cross multiply
    326.32x = 449.94 × 233.08
  4. Step 4: Simplify right side
    326.32x = 104,872.02
  5. Step 5: Solve for x
    x = 104,872.02/326.32
  6. Step 6: Final answer
    x = 321.38

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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.