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Finding the Fourth Proportional to 221.75, 305.81 and 142.97

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Solution

The fourth proportional to 221.75, 305.81 and 142.97 is: 197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.75 : 305.81 = 142.97 : x
  2. Step 2: Convert to fraction form
    221.75/305.81 = 142.97/x
  3. Step 3: Cross multiply
    221.75x = 305.81 × 142.97
  4. Step 4: Simplify right side
    221.75x = 43,721.66
  5. Step 5: Solve for x
    x = 43,721.66/221.75
  6. Step 6: Final answer
    x = 197.17

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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.