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Finding the Fourth Proportional to 206.90, 309.24 and 179.78

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Solution

The fourth proportional to 206.90, 309.24 and 179.78 is: 268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.90 : 309.24 = 179.78 : x
  2. Step 2: Convert to fraction form
    206.90/309.24 = 179.78/x
  3. Step 3: Cross multiply
    206.90x = 309.24 × 179.78
  4. Step 4: Simplify right side
    206.90x = 55,595.17
  5. Step 5: Solve for x
    x = 55,595.17/206.90
  6. Step 6: Final answer
    x = 268.71

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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.