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Finding the Fourth Proportional to 327.94, 452.60 and 196.93

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Solution

The fourth proportional to 327.94, 452.60 and 196.93 is: 271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.94 : 452.60 = 196.93 : x
  2. Step 2: Convert to fraction form
    327.94/452.60 = 196.93/x
  3. Step 3: Cross multiply
    327.94x = 452.60 × 196.93
  4. Step 4: Simplify right side
    327.94x = 89,130.52
  5. Step 5: Solve for x
    x = 89,130.52/327.94
  6. Step 6: Final answer
    x = 271.79

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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.