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Finding the Fourth Proportional to 204.50, 308.16 and 185.24

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Solution

The fourth proportional to 204.50, 308.16 and 185.24 is: 279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.50 : 308.16 = 185.24 : x
  2. Step 2: Convert to fraction form
    204.50/308.16 = 185.24/x
  3. Step 3: Cross multiply
    204.50x = 308.16 × 185.24
  4. Step 4: Simplify right side
    204.50x = 57,083.56
  5. Step 5: Solve for x
    x = 57,083.56/204.50
  6. Step 6: Final answer
    x = 279.14

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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.