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Finding the Fourth Proportional to 344.31, 516.46 and 138.84

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Solution

The fourth proportional to 344.31, 516.46 and 138.84 is: 208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.31 : 516.46 = 138.84 : x
  2. Step 2: Convert to fraction form
    344.31/516.46 = 138.84/x
  3. Step 3: Cross multiply
    344.31x = 516.46 × 138.84
  4. Step 4: Simplify right side
    344.31x = 71,705.31
  5. Step 5: Solve for x
    x = 71,705.31/344.31
  6. Step 6: Final answer
    x = 208.26

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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.