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Finding the Fourth Proportional to 262.92, 361.78 and 255.75

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Solution

The fourth proportional to 262.92, 361.78 and 255.75 is: 351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.92 : 361.78 = 255.75 : x
  2. Step 2: Convert to fraction form
    262.92/361.78 = 255.75/x
  3. Step 3: Cross multiply
    262.92x = 361.78 × 255.75
  4. Step 4: Simplify right side
    262.92x = 92,525.24
  5. Step 5: Solve for x
    x = 92,525.24/262.92
  6. Step 6: Final answer
    x = 351.91

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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.