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Finding the Fourth Proportional to 262.26, 361.62 and 196.64

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Solution

The fourth proportional to 262.26, 361.62 and 196.64 is: 271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.26 : 361.62 = 196.64 : x
  2. Step 2: Convert to fraction form
    262.26/361.62 = 196.64/x
  3. Step 3: Cross multiply
    262.26x = 361.62 × 196.64
  4. Step 4: Simplify right side
    262.26x = 71,108.96
  5. Step 5: Solve for x
    x = 71,108.96/262.26
  6. Step 6: Final answer
    x = 271.14

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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.