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Finding the Fourth Proportional to 205.75, 284.09 and 158.41

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Solution

The fourth proportional to 205.75, 284.09 and 158.41 is: 218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.75 : 284.09 = 158.41 : x
  2. Step 2: Convert to fraction form
    205.75/284.09 = 158.41/x
  3. Step 3: Cross multiply
    205.75x = 284.09 × 158.41
  4. Step 4: Simplify right side
    205.75x = 45,002.70
  5. Step 5: Solve for x
    x = 45,002.70/205.75
  6. Step 6: Final answer
    x = 218.73

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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.