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Finding the Fourth Proportional to 205.22, 306.81 and 159.62

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Solution

The fourth proportional to 205.22, 306.81 and 159.62 is: 238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.22 : 306.81 = 159.62 : x
  2. Step 2: Convert to fraction form
    205.22/306.81 = 159.62/x
  3. Step 3: Cross multiply
    205.22x = 306.81 × 159.62
  4. Step 4: Simplify right side
    205.22x = 48,971.48
  5. Step 5: Solve for x
    x = 48,971.48/205.22
  6. Step 6: Final answer
    x = 238.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.