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Finding the Fourth Proportional to 206.40, 284.85 and 140.86

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Solution

The fourth proportional to 206.40, 284.85 and 140.86 is: 194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.40 : 284.85 = 140.86 : x
  2. Step 2: Convert to fraction form
    206.40/284.85 = 140.86/x
  3. Step 3: Cross multiply
    206.40x = 284.85 × 140.86
  4. Step 4: Simplify right side
    206.40x = 40,123.97
  5. Step 5: Solve for x
    x = 40,123.97/206.40
  6. Step 6: Final answer
    x = 194.40

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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.