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Finding the Fourth Proportional to 329.02, 453.85 and 198

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Solution

The fourth proportional to 329.02, 453.85 and 198 is: 273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.02 : 453.85 = 198 : x
  2. Step 2: Convert to fraction form
    329.02/453.85 = 198/x
  3. Step 3: Cross multiply
    329.02x = 453.85 × 198
  4. Step 4: Simplify right side
    329.02x = 89,861.81
  5. Step 5: Solve for x
    x = 89,861.81/329.02
  6. Step 6: Final answer
    x = 273.12

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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.