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Finding the Fourth Proportional to 262.37, 361.25 and 222.95

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Solution

The fourth proportional to 262.37, 361.25 and 222.95 is: 306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.37 : 361.25 = 222.95 : x
  2. Step 2: Convert to fraction form
    262.37/361.25 = 222.95/x
  3. Step 3: Cross multiply
    262.37x = 361.25 × 222.95
  4. Step 4: Simplify right side
    262.37x = 80,539.57
  5. Step 5: Solve for x
    x = 80,539.57/262.37
  6. Step 6: Final answer
    x = 306.97

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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.