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Finding the Fourth Proportional to 338.32, 466.78 and 220.44

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Solution

The fourth proportional to 338.32, 466.78 and 220.44 is: 304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.32 : 466.78 = 220.44 : x
  2. Step 2: Convert to fraction form
    338.32/466.78 = 220.44/x
  3. Step 3: Cross multiply
    338.32x = 466.78 × 220.44
  4. Step 4: Simplify right side
    338.32x = 102,896.98
  5. Step 5: Solve for x
    x = 102,896.98/338.32
  6. Step 6: Final answer
    x = 304.14

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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.