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Finding the Fourth Proportional to 204.57, 282.09 and 160.83

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Solution

The fourth proportional to 204.57, 282.09 and 160.83 is: 221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.57 : 282.09 = 160.83 : x
  2. Step 2: Convert to fraction form
    204.57/282.09 = 160.83/x
  3. Step 3: Cross multiply
    204.57x = 282.09 × 160.83
  4. Step 4: Simplify right side
    204.57x = 45,368.53
  5. Step 5: Solve for x
    x = 45,368.53/204.57
  6. Step 6: Final answer
    x = 221.78

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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.