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Finding the Fourth Proportional to 344.21, 516.52 and 136.15

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Solution

The fourth proportional to 344.21, 516.52 and 136.15 is: 204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.21 : 516.52 = 136.15 : x
  2. Step 2: Convert to fraction form
    344.21/516.52 = 136.15/x
  3. Step 3: Cross multiply
    344.21x = 516.52 × 136.15
  4. Step 4: Simplify right side
    344.21x = 70,323.08
  5. Step 5: Solve for x
    x = 70,323.08/344.21
  6. Step 6: Final answer
    x = 204.31

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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.