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Finding the Fourth Proportional to 221.99, 306.35 and 123.76

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Solution

The fourth proportional to 221.99, 306.35 and 123.76 is: 170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.99 : 306.35 = 123.76 : x
  2. Step 2: Convert to fraction form
    221.99/306.35 = 123.76/x
  3. Step 3: Cross multiply
    221.99x = 306.35 × 123.76
  4. Step 4: Simplify right side
    221.99x = 37,911.73
  5. Step 5: Solve for x
    x = 37,911.73/221.99
  6. Step 6: Final answer
    x = 170.78

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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.