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Finding the Fourth Proportional to 204.72, 309.39 and 202.56

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Solution

The fourth proportional to 204.72, 309.39 and 202.56 is: 306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.72 : 309.39 = 202.56 : x
  2. Step 2: Convert to fraction form
    204.72/309.39 = 202.56/x
  3. Step 3: Cross multiply
    204.72x = 309.39 × 202.56
  4. Step 4: Simplify right side
    204.72x = 62,670.04
  5. Step 5: Solve for x
    x = 62,670.04/204.72
  6. Step 6: Final answer
    x = 306.13

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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.