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Finding the Fourth Proportional to 204.02, 280.92 and 159.94

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Solution

The fourth proportional to 204.02, 280.92 and 159.94 is: 220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.02 : 280.92 = 159.94 : x
  2. Step 2: Convert to fraction form
    204.02/280.92 = 159.94/x
  3. Step 3: Cross multiply
    204.02x = 280.92 × 159.94
  4. Step 4: Simplify right side
    204.02x = 44,930.34
  5. Step 5: Solve for x
    x = 44,930.34/204.02
  6. Step 6: Final answer
    x = 220.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.