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Finding the Fourth Proportional to 263.88, 361.92 and 252.20

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Solution

The fourth proportional to 263.88, 361.92 and 252.20 is: 345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.88 : 361.92 = 252.20 : x
  2. Step 2: Convert to fraction form
    263.88/361.92 = 252.20/x
  3. Step 3: Cross multiply
    263.88x = 361.92 × 252.20
  4. Step 4: Simplify right side
    263.88x = 91,276.22
  5. Step 5: Solve for x
    x = 91,276.22/263.88
  6. Step 6: Final answer
    x = 345.90

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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.