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Finding the Fourth Proportional to 344.31, 475.38 and 213.39

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Solution

The fourth proportional to 344.31, 475.38 and 213.39 is: 294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.31 : 475.38 = 213.39 : x
  2. Step 2: Convert to fraction form
    344.31/475.38 = 213.39/x
  3. Step 3: Cross multiply
    344.31x = 475.38 × 213.39
  4. Step 4: Simplify right side
    344.31x = 101,441.34
  5. Step 5: Solve for x
    x = 101,441.34/344.31
  6. Step 6: Final answer
    x = 294.62

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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.