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Finding the Fourth Proportional to 329.48, 454.78 and 198.60

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Solution

The fourth proportional to 329.48, 454.78 and 198.60 is: 274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.48 : 454.78 = 198.60 : x
  2. Step 2: Convert to fraction form
    329.48/454.78 = 198.60/x
  3. Step 3: Cross multiply
    329.48x = 454.78 × 198.60
  4. Step 4: Simplify right side
    329.48x = 90,319.31
  5. Step 5: Solve for x
    x = 90,319.31/329.48
  6. Step 6: Final answer
    x = 274.13

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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.