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Finding the Fourth Proportional to 344.85, 516.96 and 253.43

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Solution

The fourth proportional to 344.85, 516.96 and 253.43 is: 379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.85 : 516.96 = 253.43 : x
  2. Step 2: Convert to fraction form
    344.85/516.96 = 253.43/x
  3. Step 3: Cross multiply
    344.85x = 516.96 × 253.43
  4. Step 4: Simplify right side
    344.85x = 131,010.59
  5. Step 5: Solve for x
    x = 131,010.59/344.85
  6. Step 6: Final answer
    x = 379.91

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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.