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Finding the Fourth Proportional to 221.72, 306.36 and 173

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Solution

The fourth proportional to 221.72, 306.36 and 173 is: 239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.72 : 306.36 = 173 : x
  2. Step 2: Convert to fraction form
    221.72/306.36 = 173/x
  3. Step 3: Cross multiply
    221.72x = 306.36 × 173
  4. Step 4: Simplify right side
    221.72x = 53,000.28
  5. Step 5: Solve for x
    x = 53,000.28/221.72
  6. Step 6: Final answer
    x = 239.04

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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.