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Finding the Fourth Proportional to 344.39, 516.56 and 267.80

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Solution

The fourth proportional to 344.39, 516.56 and 267.80 is: 401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.39 : 516.56 = 267.80 : x
  2. Step 2: Convert to fraction form
    344.39/516.56 = 267.80/x
  3. Step 3: Cross multiply
    344.39x = 516.56 × 267.80
  4. Step 4: Simplify right side
    344.39x = 138,330.85
  5. Step 5: Solve for x
    x = 138,330.85/344.39
  6. Step 6: Final answer
    x = 401.68

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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.