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Finding the Fourth Proportional to 262.20, 361.84 and 144.18

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Solution

The fourth proportional to 262.20, 361.84 and 144.18 is: 198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.20 : 361.84 = 144.18 : x
  2. Step 2: Convert to fraction form
    262.20/361.84 = 144.18/x
  3. Step 3: Cross multiply
    262.20x = 361.84 × 144.18
  4. Step 4: Simplify right side
    262.20x = 52,168.92
  5. Step 5: Solve for x
    x = 52,168.92/262.20
  6. Step 6: Final answer
    x = 198.96

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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.