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Finding the Fourth Proportional to 206.56, 308.12 and 194.14

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Solution

The fourth proportional to 206.56, 308.12 and 194.14 is: 289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.56 : 308.12 = 194.14 : x
  2. Step 2: Convert to fraction form
    206.56/308.12 = 194.14/x
  3. Step 3: Cross multiply
    206.56x = 308.12 × 194.14
  4. Step 4: Simplify right side
    206.56x = 59,818.42
  5. Step 5: Solve for x
    x = 59,818.42/206.56
  6. Step 6: Final answer
    x = 289.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.