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Finding the Fourth Proportional to 227.16, 338.91 and 206.22

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Solution

The fourth proportional to 227.16, 338.91 and 206.22 is: 307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.16 : 338.91 = 206.22 : x
  2. Step 2: Convert to fraction form
    227.16/338.91 = 206.22/x
  3. Step 3: Cross multiply
    227.16x = 338.91 × 206.22
  4. Step 4: Simplify right side
    227.16x = 69,890.02
  5. Step 5: Solve for x
    x = 69,890.02/227.16
  6. Step 6: Final answer
    x = 307.67

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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.