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Finding the Fourth Proportional to 201.99, 280.02 and 191.60

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Solution

The fourth proportional to 201.99, 280.02 and 191.60 is: 265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.99 : 280.02 = 191.60 : x
  2. Step 2: Convert to fraction form
    201.99/280.02 = 191.60/x
  3. Step 3: Cross multiply
    201.99x = 280.02 × 191.60
  4. Step 4: Simplify right side
    201.99x = 53,652.20
  5. Step 5: Solve for x
    x = 53,652.20/201.99
  6. Step 6: Final answer
    x = 265.61

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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.