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Finding the Fourth Proportional to 438.11, 604.82 and 338.31

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Solution

The fourth proportional to 438.11, 604.82 and 338.31 is: 467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.11 : 604.82 = 338.31 : x
  2. Step 2: Convert to fraction form
    438.11/604.82 = 338.31/x
  3. Step 3: Cross multiply
    438.11x = 604.82 × 338.31
  4. Step 4: Simplify right side
    438.11x = 204,616.65
  5. Step 5: Solve for x
    x = 204,616.65/438.11
  6. Step 6: Final answer
    x = 467.04

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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.