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Finding the Fourth Proportional to 206.11, 308.05 and 177.40

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Solution

The fourth proportional to 206.11, 308.05 and 177.40 is: 265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.11 : 308.05 = 177.40 : x
  2. Step 2: Convert to fraction form
    206.11/308.05 = 177.40/x
  3. Step 3: Cross multiply
    206.11x = 308.05 × 177.40
  4. Step 4: Simplify right side
    206.11x = 54,648.07
  5. Step 5: Solve for x
    x = 54,648.07/206.11
  6. Step 6: Final answer
    x = 265.14

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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.