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Finding the Fourth Proportional to 204.86, 282.63 and 160.78

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Solution

The fourth proportional to 204.86, 282.63 and 160.78 is: 221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.86 : 282.63 = 160.78 : x
  2. Step 2: Convert to fraction form
    204.86/282.63 = 160.78/x
  3. Step 3: Cross multiply
    204.86x = 282.63 × 160.78
  4. Step 4: Simplify right side
    204.86x = 45,440.54
  5. Step 5: Solve for x
    x = 45,440.54/204.86
  6. Step 6: Final answer
    x = 221.81

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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.