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Finding the Fourth Proportional to 329.91, 455.27 and 198.90

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Solution

The fourth proportional to 329.91, 455.27 and 198.90 is: 274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.91 : 455.27 = 198.90 : x
  2. Step 2: Convert to fraction form
    329.91/455.27 = 198.90/x
  3. Step 3: Cross multiply
    329.91x = 455.27 × 198.90
  4. Step 4: Simplify right side
    329.91x = 90,549.93
  5. Step 5: Solve for x
    x = 90,549.93/329.91
  6. Step 6: Final answer
    x = 274.47

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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.