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Finding the Fourth Proportional to 329.73, 455.07 and 198.81

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Solution

The fourth proportional to 329.73, 455.07 and 198.81 is: 274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.73 : 455.07 = 198.81 : x
  2. Step 2: Convert to fraction form
    329.73/455.07 = 198.81/x
  3. Step 3: Cross multiply
    329.73x = 455.07 × 198.81
  4. Step 4: Simplify right side
    329.73x = 90,472.47
  5. Step 5: Solve for x
    x = 90,472.47/329.73
  6. Step 6: Final answer
    x = 274.38

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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.