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Finding the Fourth Proportional to 338.25, 466.92 and 227.67

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Solution

The fourth proportional to 338.25, 466.92 and 227.67 is: 314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.25 : 466.92 = 227.67 : x
  2. Step 2: Convert to fraction form
    338.25/466.92 = 227.67/x
  3. Step 3: Cross multiply
    338.25x = 466.92 × 227.67
  4. Step 4: Simplify right side
    338.25x = 106,303.68
  5. Step 5: Solve for x
    x = 106,303.68/338.25
  6. Step 6: Final answer
    x = 314.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.