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Finding the Fourth Proportional to 227.21, 342.17 and 201.77

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Solution

The fourth proportional to 227.21, 342.17 and 201.77 is: 303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.21 : 342.17 = 201.77 : x
  2. Step 2: Convert to fraction form
    227.21/342.17 = 201.77/x
  3. Step 3: Cross multiply
    227.21x = 342.17 × 201.77
  4. Step 4: Simplify right side
    227.21x = 69,039.64
  5. Step 5: Solve for x
    x = 69,039.64/227.21
  6. Step 6: Final answer
    x = 303.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.