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Finding the Fourth Proportional to 338.44, 506.92 and 229.64

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Solution

The fourth proportional to 338.44, 506.92 and 229.64 is: 343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.44 : 506.92 = 229.64 : x
  2. Step 2: Convert to fraction form
    338.44/506.92 = 229.64/x
  3. Step 3: Cross multiply
    338.44x = 506.92 × 229.64
  4. Step 4: Simplify right side
    338.44x = 116,409.11
  5. Step 5: Solve for x
    x = 116,409.11/338.44
  6. Step 6: Final answer
    x = 343.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.