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Finding the Fourth Proportional to 204.68, 308.39 and 177.35

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Solution

The fourth proportional to 204.68, 308.39 and 177.35 is: 267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.68 : 308.39 = 177.35 : x
  2. Step 2: Convert to fraction form
    204.68/308.39 = 177.35/x
  3. Step 3: Cross multiply
    204.68x = 308.39 × 177.35
  4. Step 4: Simplify right side
    204.68x = 54,690.54
  5. Step 5: Solve for x
    x = 54,690.54/204.68
  6. Step 6: Final answer
    x = 267.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.