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Finding the Fourth Proportional to 206.86, 308.99 and 155.22

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Solution

The fourth proportional to 206.86, 308.99 and 155.22 is: 231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.86 : 308.99 = 155.22 : x
  2. Step 2: Convert to fraction form
    206.86/308.99 = 155.22/x
  3. Step 3: Cross multiply
    206.86x = 308.99 × 155.22
  4. Step 4: Simplify right side
    206.86x = 47,961.43
  5. Step 5: Solve for x
    x = 47,961.43/206.86
  6. Step 6: Final answer
    x = 231.85

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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.