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Finding the Fourth Proportional to 206.44, 284.80 and 140.96

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Solution

The fourth proportional to 206.44, 284.80 and 140.96 is: 194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.44 : 284.80 = 140.96 : x
  2. Step 2: Convert to fraction form
    206.44/284.80 = 140.96/x
  3. Step 3: Cross multiply
    206.44x = 284.80 × 140.96
  4. Step 4: Simplify right side
    206.44x = 40,145.41
  5. Step 5: Solve for x
    x = 40,145.41/206.44
  6. Step 6: Final answer
    x = 194.47

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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.