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Finding the Fourth Proportional to 206.12, 308.38 and 141.80

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Solution

The fourth proportional to 206.12, 308.38 and 141.80 is: 212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.12 : 308.38 = 141.80 : x
  2. Step 2: Convert to fraction form
    206.12/308.38 = 141.80/x
  3. Step 3: Cross multiply
    206.12x = 308.38 × 141.80
  4. Step 4: Simplify right side
    206.12x = 43,728.28
  5. Step 5: Solve for x
    x = 43,728.28/206.12
  6. Step 6: Final answer
    x = 212.15

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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.