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Finding the Fourth Proportional to 221.49, 304.81 and 196.38

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Solution

The fourth proportional to 221.49, 304.81 and 196.38 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.49 : 304.81 = 196.38 : x
  2. Step 2: Convert to fraction form
    221.49/304.81 = 196.38/x
  3. Step 3: Cross multiply
    221.49x = 304.81 × 196.38
  4. Step 4: Simplify right side
    221.49x = 59,858.59
  5. Step 5: Solve for x
    x = 59,858.59/221.49
  6. Step 6: Final answer
    x = 270.25

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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.