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Finding the Fourth Proportional to 227.97, 340.20 and 203.67

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Solution

The fourth proportional to 227.97, 340.20 and 203.67 is: 303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.97 : 340.20 = 203.67 : x
  2. Step 2: Convert to fraction form
    227.97/340.20 = 203.67/x
  3. Step 3: Cross multiply
    227.97x = 340.20 × 203.67
  4. Step 4: Simplify right side
    227.97x = 69,288.53
  5. Step 5: Solve for x
    x = 69,288.53/227.97
  6. Step 6: Final answer
    x = 303.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.