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Finding the Fourth Proportional to 327.68, 491.63 and 205.80

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Solution

The fourth proportional to 327.68, 491.63 and 205.80 is: 308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.68 : 491.63 = 205.80 : x
  2. Step 2: Convert to fraction form
    327.68/491.63 = 205.80/x
  3. Step 3: Cross multiply
    327.68x = 491.63 × 205.80
  4. Step 4: Simplify right side
    327.68x = 101,177.45
  5. Step 5: Solve for x
    x = 101,177.45/327.68
  6. Step 6: Final answer
    x = 308.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.