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Finding the Fourth Proportional to 344.11, 516.27 and 109.84

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Solution

The fourth proportional to 344.11, 516.27 and 109.84 is: 164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.11 : 516.27 = 109.84 : x
  2. Step 2: Convert to fraction form
    344.11/516.27 = 109.84/x
  3. Step 3: Cross multiply
    344.11x = 516.27 × 109.84
  4. Step 4: Simplify right side
    344.11x = 56,704.52
  5. Step 5: Solve for x
    x = 56,704.52/344.11
  6. Step 6: Final answer
    x = 164.79

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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.