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Finding the Fourth Proportional to 262.39, 361.27 and 222.97

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Solution

The fourth proportional to 262.39, 361.27 and 222.97 is: 307.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.39 : 361.27 = 222.97 : x
  2. Step 2: Convert to fraction form
    262.39/361.27 = 222.97/x
  3. Step 3: Cross multiply
    262.39x = 361.27 × 222.97
  4. Step 4: Simplify right side
    262.39x = 80,551.75
  5. Step 5: Solve for x
    x = 80,551.75/262.39
  6. Step 6: Final answer
    x = 307.00

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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.