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Finding the Fourth Proportional to 227.02, 311.62 and 201.91

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Solution

The fourth proportional to 227.02, 311.62 and 201.91 is: 277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.02 : 311.62 = 201.91 : x
  2. Step 2: Convert to fraction form
    227.02/311.62 = 201.91/x
  3. Step 3: Cross multiply
    227.02x = 311.62 × 201.91
  4. Step 4: Simplify right side
    227.02x = 62,919.19
  5. Step 5: Solve for x
    x = 62,919.19/227.02
  6. Step 6: Final answer
    x = 277.15

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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.