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Finding the Fourth Proportional to 268.43, 371.82 and 262.96

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Solution

The fourth proportional to 268.43, 371.82 and 262.96 is: 364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.43 : 371.82 = 262.96 : x
  2. Step 2: Convert to fraction form
    268.43/371.82 = 262.96/x
  3. Step 3: Cross multiply
    268.43x = 371.82 × 262.96
  4. Step 4: Simplify right side
    268.43x = 97,772.86
  5. Step 5: Solve for x
    x = 97,772.86/268.43
  6. Step 6: Final answer
    x = 364.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.