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Finding the Fourth Proportional to 206.85, 308.63 and 179.85

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Solution

The fourth proportional to 206.85, 308.63 and 179.85 is: 268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.85 : 308.63 = 179.85 : x
  2. Step 2: Convert to fraction form
    206.85/308.63 = 179.85/x
  3. Step 3: Cross multiply
    206.85x = 308.63 × 179.85
  4. Step 4: Simplify right side
    206.85x = 55,507.11
  5. Step 5: Solve for x
    x = 55,507.11/206.85
  6. Step 6: Final answer
    x = 268.34

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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.