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Finding the Fourth Proportional to 221.77, 306.26 and 166.42

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Solution

The fourth proportional to 221.77, 306.26 and 166.42 is: 229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.77 : 306.26 = 166.42 : x
  2. Step 2: Convert to fraction form
    221.77/306.26 = 166.42/x
  3. Step 3: Cross multiply
    221.77x = 306.26 × 166.42
  4. Step 4: Simplify right side
    221.77x = 50,966.67
  5. Step 5: Solve for x
    x = 50,966.67/221.77
  6. Step 6: Final answer
    x = 229.82

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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.