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Finding the Fourth Proportional to 199.26, 296.78 and 198.23

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Solution

The fourth proportional to 199.26, 296.78 and 198.23 is: 295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.26 : 296.78 = 198.23 : x
  2. Step 2: Convert to fraction form
    199.26/296.78 = 198.23/x
  3. Step 3: Cross multiply
    199.26x = 296.78 × 198.23
  4. Step 4: Simplify right side
    199.26x = 58,828.22
  5. Step 5: Solve for x
    x = 58,828.22/199.26
  6. Step 6: Final answer
    x = 295.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.