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Finding the Fourth Proportional to 329.94, 455.31 and 198.96

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Solution

The fourth proportional to 329.94, 455.31 and 198.96 is: 274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.94 : 455.31 = 198.96 : x
  2. Step 2: Convert to fraction form
    329.94/455.31 = 198.96/x
  3. Step 3: Cross multiply
    329.94x = 455.31 × 198.96
  4. Step 4: Simplify right side
    329.94x = 90,588.48
  5. Step 5: Solve for x
    x = 90,588.48/329.94
  6. Step 6: Final answer
    x = 274.56

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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.