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Finding the Fourth Proportional to 206.78, 310.49 and 178.21

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Solution

The fourth proportional to 206.78, 310.49 and 178.21 is: 267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.78 : 310.49 = 178.21 : x
  2. Step 2: Convert to fraction form
    206.78/310.49 = 178.21/x
  3. Step 3: Cross multiply
    206.78x = 310.49 × 178.21
  4. Step 4: Simplify right side
    206.78x = 55,330.76
  5. Step 5: Solve for x
    x = 55,330.76/206.78
  6. Step 6: Final answer
    x = 267.59

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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.