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Finding the Fourth Proportional to 344.50, 475.14 and 213.43

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Solution

The fourth proportional to 344.50, 475.14 and 213.43 is: 294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.50 : 475.14 = 213.43 : x
  2. Step 2: Convert to fraction form
    344.50/475.14 = 213.43/x
  3. Step 3: Cross multiply
    344.50x = 475.14 × 213.43
  4. Step 4: Simplify right side
    344.50x = 101,409.13
  5. Step 5: Solve for x
    x = 101,409.13/344.50
  6. Step 6: Final answer
    x = 294.37

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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.