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Finding the Fourth Proportional to 204.30, 280.56 and 171.48

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Solution

The fourth proportional to 204.30, 280.56 and 171.48 is: 235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.30 : 280.56 = 171.48 : x
  2. Step 2: Convert to fraction form
    204.30/280.56 = 171.48/x
  3. Step 3: Cross multiply
    204.30x = 280.56 × 171.48
  4. Step 4: Simplify right side
    204.30x = 48,110.43
  5. Step 5: Solve for x
    x = 48,110.43/204.30
  6. Step 6: Final answer
    x = 235.49

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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.