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Finding the Fourth Proportional to 199.29, 272.61 and 198.48

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Solution

The fourth proportional to 199.29, 272.61 and 198.48 is: 271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.29 : 272.61 = 198.48 : x
  2. Step 2: Convert to fraction form
    199.29/272.61 = 198.48/x
  3. Step 3: Cross multiply
    199.29x = 272.61 × 198.48
  4. Step 4: Simplify right side
    199.29x = 54,107.63
  5. Step 5: Solve for x
    x = 54,107.63/199.29
  6. Step 6: Final answer
    x = 271.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.