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Finding the Fourth Proportional to 326.65, 450.78 and 179.30

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Solution

The fourth proportional to 326.65, 450.78 and 179.30 is: 247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.65 : 450.78 = 179.30 : x
  2. Step 2: Convert to fraction form
    326.65/450.78 = 179.30/x
  3. Step 3: Cross multiply
    326.65x = 450.78 × 179.30
  4. Step 4: Simplify right side
    326.65x = 80,821.93
  5. Step 5: Solve for x
    x = 80,821.93/326.65
  6. Step 6: Final answer
    x = 247.43

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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.