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Finding the Fourth Proportional to 204.45, 284.07 and 202.31

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Solution

The fourth proportional to 204.45, 284.07 and 202.31 is: 281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.45 : 284.07 = 202.31 : x
  2. Step 2: Convert to fraction form
    204.45/284.07 = 202.31/x
  3. Step 3: Cross multiply
    204.45x = 284.07 × 202.31
  4. Step 4: Simplify right side
    204.45x = 57,468.78
  5. Step 5: Solve for x
    x = 57,468.78/204.45
  6. Step 6: Final answer
    x = 281.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.