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Finding the Fourth Proportional to 262.12, 361.50 and 163.77

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Solution

The fourth proportional to 262.12, 361.50 and 163.77 is: 225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.12 : 361.50 = 163.77 : x
  2. Step 2: Convert to fraction form
    262.12/361.50 = 163.77/x
  3. Step 3: Cross multiply
    262.12x = 361.50 × 163.77
  4. Step 4: Simplify right side
    262.12x = 59,202.86
  5. Step 5: Solve for x
    x = 59,202.86/262.12
  6. Step 6: Final answer
    x = 225.86

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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.