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Finding the Fourth Proportional to 204.42, 280.73 and 174.92

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Solution

The fourth proportional to 204.42, 280.73 and 174.92 is: 240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.42 : 280.73 = 174.92 : x
  2. Step 2: Convert to fraction form
    204.42/280.73 = 174.92/x
  3. Step 3: Cross multiply
    204.42x = 280.73 × 174.92
  4. Step 4: Simplify right side
    204.42x = 49,104.99
  5. Step 5: Solve for x
    x = 49,104.99/204.42
  6. Step 6: Final answer
    x = 240.21

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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.