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Finding the Fourth Proportional to 221.48, 304.82 and 193.92

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Solution

The fourth proportional to 221.48, 304.82 and 193.92 is: 266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.48 : 304.82 = 193.92 : x
  2. Step 2: Convert to fraction form
    221.48/304.82 = 193.92/x
  3. Step 3: Cross multiply
    221.48x = 304.82 × 193.92
  4. Step 4: Simplify right side
    221.48x = 59,110.69
  5. Step 5: Solve for x
    x = 59,110.69/221.48
  6. Step 6: Final answer
    x = 266.89

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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.