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Finding the Fourth Proportional to 326.89, 450.96 and 208.81

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Solution

The fourth proportional to 326.89, 450.96 and 208.81 is: 288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.89 : 450.96 = 208.81 : x
  2. Step 2: Convert to fraction form
    326.89/450.96 = 208.81/x
  3. Step 3: Cross multiply
    326.89x = 450.96 × 208.81
  4. Step 4: Simplify right side
    326.89x = 94,164.09
  5. Step 5: Solve for x
    x = 94,164.09/326.89
  6. Step 6: Final answer
    x = 288.06

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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.