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Finding the Fourth Proportional to 204.48, 280.32 and 201.12

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Solution

The fourth proportional to 204.48, 280.32 and 201.12 is: 275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.48 : 280.32 = 201.12 : x
  2. Step 2: Convert to fraction form
    204.48/280.32 = 201.12/x
  3. Step 3: Cross multiply
    204.48x = 280.32 × 201.12
  4. Step 4: Simplify right side
    204.48x = 56,377.96
  5. Step 5: Solve for x
    x = 56,377.96/204.48
  6. Step 6: Final answer
    x = 275.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.