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Finding the Fourth Proportional to 199.54, 301.24 and 198.46

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Solution

The fourth proportional to 199.54, 301.24 and 198.46 is: 299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.54 : 301.24 = 198.46 : x
  2. Step 2: Convert to fraction form
    199.54/301.24 = 198.46/x
  3. Step 3: Cross multiply
    199.54x = 301.24 × 198.46
  4. Step 4: Simplify right side
    199.54x = 59,784.09
  5. Step 5: Solve for x
    x = 59,784.09/199.54
  6. Step 6: Final answer
    x = 299.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.