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Finding the Fourth Proportional to 201.69, 276.51 and 198.05

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Solution

The fourth proportional to 201.69, 276.51 and 198.05 is: 271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.69 : 276.51 = 198.05 : x
  2. Step 2: Convert to fraction form
    201.69/276.51 = 198.05/x
  3. Step 3: Cross multiply
    201.69x = 276.51 × 198.05
  4. Step 4: Simplify right side
    201.69x = 54,762.17
  5. Step 5: Solve for x
    x = 54,762.17/201.69
  6. Step 6: Final answer
    x = 271.52

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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.