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Finding the Fourth Proportional to 199.35, 276.30 and 195.71

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Solution

The fourth proportional to 199.35, 276.30 and 195.71 is: 271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.35 : 276.30 = 195.71 : x
  2. Step 2: Convert to fraction form
    199.35/276.30 = 195.71/x
  3. Step 3: Cross multiply
    199.35x = 276.30 × 195.71
  4. Step 4: Simplify right side
    199.35x = 54,073.29
  5. Step 5: Solve for x
    x = 54,073.29/199.35
  6. Step 6: Final answer
    x = 271.25

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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.