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Finding the Fourth Proportional to 286.42, 395.94 and 257.26

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Solution

The fourth proportional to 286.42, 395.94 and 257.26 is: 355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.42 : 395.94 = 257.26 : x
  2. Step 2: Convert to fraction form
    286.42/395.94 = 257.26/x
  3. Step 3: Cross multiply
    286.42x = 395.94 × 257.26
  4. Step 4: Simplify right side
    286.42x = 101,859.52
  5. Step 5: Solve for x
    x = 101,859.52/286.42
  6. Step 6: Final answer
    x = 355.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.