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Finding the Fourth Proportional to 329.89, 455.39 and 198.88

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Solution

The fourth proportional to 329.89, 455.39 and 198.88 is: 274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.89 : 455.39 = 198.88 : x
  2. Step 2: Convert to fraction form
    329.89/455.39 = 198.88/x
  3. Step 3: Cross multiply
    329.89x = 455.39 × 198.88
  4. Step 4: Simplify right side
    329.89x = 90,567.96
  5. Step 5: Solve for x
    x = 90,567.96/329.89
  6. Step 6: Final answer
    x = 274.54

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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.