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Finding the Fourth Proportional to 221.90, 306.65 and 199.62

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Solution

The fourth proportional to 221.90, 306.65 and 199.62 is: 275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.90 : 306.65 = 199.62 : x
  2. Step 2: Convert to fraction form
    221.90/306.65 = 199.62/x
  3. Step 3: Cross multiply
    221.90x = 306.65 × 199.62
  4. Step 4: Simplify right side
    221.90x = 61,213.97
  5. Step 5: Solve for x
    x = 61,213.97/221.90
  6. Step 6: Final answer
    x = 275.87

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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.