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Finding the Fourth Proportional to 204.88, 308.83 and 186.66

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Solution

The fourth proportional to 204.88, 308.83 and 186.66 is: 281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.88 : 308.83 = 186.66 : x
  2. Step 2: Convert to fraction form
    204.88/308.83 = 186.66/x
  3. Step 3: Cross multiply
    204.88x = 308.83 × 186.66
  4. Step 4: Simplify right side
    204.88x = 57,646.21
  5. Step 5: Solve for x
    x = 57,646.21/204.88
  6. Step 6: Final answer
    x = 281.37

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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.