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Finding the Fourth Proportional to 296.91, 409.86 and 198.80

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Solution

The fourth proportional to 296.91, 409.86 and 198.80 is: 274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.91 : 409.86 = 198.80 : x
  2. Step 2: Convert to fraction form
    296.91/409.86 = 198.80/x
  3. Step 3: Cross multiply
    296.91x = 409.86 × 198.80
  4. Step 4: Simplify right side
    296.91x = 81,479.66
  5. Step 5: Solve for x
    x = 81,479.66/296.91
  6. Step 6: Final answer
    x = 274.43

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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.