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Finding the Fourth Proportional to 329.58, 454.87 and 198.56

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Solution

The fourth proportional to 329.58, 454.87 and 198.56 is: 274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.58 : 454.87 = 198.56 : x
  2. Step 2: Convert to fraction form
    329.58/454.87 = 198.56/x
  3. Step 3: Cross multiply
    329.58x = 454.87 × 198.56
  4. Step 4: Simplify right side
    329.58x = 90,319.26
  5. Step 5: Solve for x
    x = 90,319.26/329.58
  6. Step 6: Final answer
    x = 274.04

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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.