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Finding the Fourth Proportional to 193.24, 266.36 and 161.76

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Solution

The fourth proportional to 193.24, 266.36 and 161.76 is: 222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.24 : 266.36 = 161.76 : x
  2. Step 2: Convert to fraction form
    193.24/266.36 = 161.76/x
  3. Step 3: Cross multiply
    193.24x = 266.36 × 161.76
  4. Step 4: Simplify right side
    193.24x = 43,086.39
  5. Step 5: Solve for x
    x = 43,086.39/193.24
  6. Step 6: Final answer
    x = 222.97

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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.