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Finding the Fourth Proportional to 204.47, 308.09 and 182.37

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Solution

The fourth proportional to 204.47, 308.09 and 182.37 is: 274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.47 : 308.09 = 182.37 : x
  2. Step 2: Convert to fraction form
    204.47/308.09 = 182.37/x
  3. Step 3: Cross multiply
    204.47x = 308.09 × 182.37
  4. Step 4: Simplify right side
    204.47x = 56,185.23
  5. Step 5: Solve for x
    x = 56,185.23/204.47
  6. Step 6: Final answer
    x = 274.78

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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.