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Finding the Fourth Proportional to 199.23, 296.50 and 198.63

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Solution

The fourth proportional to 199.23, 296.50 and 198.63 is: 295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.23 : 296.50 = 198.63 : x
  2. Step 2: Convert to fraction form
    199.23/296.50 = 198.63/x
  3. Step 3: Cross multiply
    199.23x = 296.50 × 198.63
  4. Step 4: Simplify right side
    199.23x = 58,893.80
  5. Step 5: Solve for x
    x = 58,893.80/199.23
  6. Step 6: Final answer
    x = 295.61

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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.