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Finding the Fourth Proportional to 221.06, 329.95 and 166.70

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Solution

The fourth proportional to 221.06, 329.95 and 166.70 is: 248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.06 : 329.95 = 166.70 : x
  2. Step 2: Convert to fraction form
    221.06/329.95 = 166.70/x
  3. Step 3: Cross multiply
    221.06x = 329.95 × 166.70
  4. Step 4: Simplify right side
    221.06x = 55,002.67
  5. Step 5: Solve for x
    x = 55,002.67/221.06
  6. Step 6: Final answer
    x = 248.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.