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Finding the Fourth Proportional to 205.82, 284.25 and 140.21

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Solution

The fourth proportional to 205.82, 284.25 and 140.21 is: 193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.82 : 284.25 = 140.21 : x
  2. Step 2: Convert to fraction form
    205.82/284.25 = 140.21/x
  3. Step 3: Cross multiply
    205.82x = 284.25 × 140.21
  4. Step 4: Simplify right side
    205.82x = 39,853.27
  5. Step 5: Solve for x
    x = 39,853.27/205.82
  6. Step 6: Final answer
    x = 193.64

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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.