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Finding the Fourth Proportional to 344.30, 516.30 and 138.80

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Solution

The fourth proportional to 344.30, 516.30 and 138.80 is: 208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.30 : 516.30 = 138.80 : x
  2. Step 2: Convert to fraction form
    344.30/516.30 = 138.80/x
  3. Step 3: Cross multiply
    344.30x = 516.30 × 138.80
  4. Step 4: Simplify right side
    344.30x = 71,662.44
  5. Step 5: Solve for x
    x = 71,662.44/344.30
  6. Step 6: Final answer
    x = 208.14

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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.