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Finding the Fourth Proportional to 344.23, 516.84 and 213.81

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Solution

The fourth proportional to 344.23, 516.84 and 213.81 is: 321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.23 : 516.84 = 213.81 : x
  2. Step 2: Convert to fraction form
    344.23/516.84 = 213.81/x
  3. Step 3: Cross multiply
    344.23x = 516.84 × 213.81
  4. Step 4: Simplify right side
    344.23x = 110,505.56
  5. Step 5: Solve for x
    x = 110,505.56/344.23
  6. Step 6: Final answer
    x = 321.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.