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Finding the Fourth Proportional to 206.62, 308.59 and 177.80

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Solution

The fourth proportional to 206.62, 308.59 and 177.80 is: 265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.62 : 308.59 = 177.80 : x
  2. Step 2: Convert to fraction form
    206.62/308.59 = 177.80/x
  3. Step 3: Cross multiply
    206.62x = 308.59 × 177.80
  4. Step 4: Simplify right side
    206.62x = 54,865.31
  5. Step 5: Solve for x
    x = 54,865.31/206.62
  6. Step 6: Final answer
    x = 265.54

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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.