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Finding the Fourth Proportional to 199.71, 277.02 and 198.09

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Solution

The fourth proportional to 199.71, 277.02 and 198.09 is: 274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.71 : 277.02 = 198.09 : x
  2. Step 2: Convert to fraction form
    199.71/277.02 = 198.09/x
  3. Step 3: Cross multiply
    199.71x = 277.02 × 198.09
  4. Step 4: Simplify right side
    199.71x = 54,874.89
  5. Step 5: Solve for x
    x = 54,874.89/199.71
  6. Step 6: Final answer
    x = 274.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.