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Finding the Fourth Proportional to 204.44, 308.15 and 187.13

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Solution

The fourth proportional to 204.44, 308.15 and 187.13 is: 282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.44 : 308.15 = 187.13 : x
  2. Step 2: Convert to fraction form
    204.44/308.15 = 187.13/x
  3. Step 3: Cross multiply
    204.44x = 308.15 × 187.13
  4. Step 4: Simplify right side
    204.44x = 57,663.97
  5. Step 5: Solve for x
    x = 57,663.97/204.44
  6. Step 6: Final answer
    x = 282.06

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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.