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Finding the Fourth Proportional to 344.31, 472.04 and 338.18

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Solution

The fourth proportional to 344.31, 472.04 and 338.18 is: 463.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.31 : 472.04 = 338.18 : x
  2. Step 2: Convert to fraction form
    344.31/472.04 = 338.18/x
  3. Step 3: Cross multiply
    344.31x = 472.04 × 338.18
  4. Step 4: Simplify right side
    344.31x = 159,630.44
  5. Step 5: Solve for x
    x = 159,630.44/344.31
  6. Step 6: Final answer
    x = 463.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.