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Finding the Fourth Proportional to 257.52, 353.04 and 251.52

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Solution

The fourth proportional to 257.52, 353.04 and 251.52 is: 344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.52 : 353.04 = 251.52 : x
  2. Step 2: Convert to fraction form
    257.52/353.04 = 251.52/x
  3. Step 3: Cross multiply
    257.52x = 353.04 × 251.52
  4. Step 4: Simplify right side
    257.52x = 88,796.62
  5. Step 5: Solve for x
    x = 88,796.62/257.52
  6. Step 6: Final answer
    x = 344.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.