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Finding the Fourth Proportional to 201.90, 276.30 and 199.74

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Solution

The fourth proportional to 201.90, 276.30 and 199.74 is: 273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.90 : 276.30 = 199.74 : x
  2. Step 2: Convert to fraction form
    201.90/276.30 = 199.74/x
  3. Step 3: Cross multiply
    201.90x = 276.30 × 199.74
  4. Step 4: Simplify right side
    201.90x = 55,188.16
  5. Step 5: Solve for x
    x = 55,188.16/201.90
  6. Step 6: Final answer
    x = 273.34

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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.