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Finding the Fourth Proportional to 282.80, 425.97 and 257.28

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Solution

The fourth proportional to 282.80, 425.97 and 257.28 is: 387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.80 : 425.97 = 257.28 : x
  2. Step 2: Convert to fraction form
    282.80/425.97 = 257.28/x
  3. Step 3: Cross multiply
    282.80x = 425.97 × 257.28
  4. Step 4: Simplify right side
    282.80x = 109,593.56
  5. Step 5: Solve for x
    x = 109,593.56/282.80
  6. Step 6: Final answer
    x = 387.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.