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Finding the Fourth Proportional to 206.79, 308.82 and 166.08

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Solution

The fourth proportional to 206.79, 308.82 and 166.08 is: 248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.79 : 308.82 = 166.08 : x
  2. Step 2: Convert to fraction form
    206.79/308.82 = 166.08/x
  3. Step 3: Cross multiply
    206.79x = 308.82 × 166.08
  4. Step 4: Simplify right side
    206.79x = 51,288.83
  5. Step 5: Solve for x
    x = 51,288.83/206.79
  6. Step 6: Final answer
    x = 248.02

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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.