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Finding the Fourth Proportional to 309.28, 425 and 257.44

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Solution

The fourth proportional to 309.28, 425 and 257.44 is: 353.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.28 : 425 = 257.44 : x
  2. Step 2: Convert to fraction form
    309.28/425 = 257.44/x
  3. Step 3: Cross multiply
    309.28x = 425 × 257.44
  4. Step 4: Simplify right side
    309.28x = 109,412
  5. Step 5: Solve for x
    x = 109,412/309.28
  6. Step 6: Final answer
    x = 353.76

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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.