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Finding the Fourth Proportional to 326.30, 450.05 and 209.80

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Solution

The fourth proportional to 326.30, 450.05 and 209.80 is: 289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.30 : 450.05 = 209.80 : x
  2. Step 2: Convert to fraction form
    326.30/450.05 = 209.80/x
  3. Step 3: Cross multiply
    326.30x = 450.05 × 209.80
  4. Step 4: Simplify right side
    326.30x = 94,420.49
  5. Step 5: Solve for x
    x = 94,420.49/326.30
  6. Step 6: Final answer
    x = 289.37

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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.