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Finding the Fourth Proportional to 204.93, 283.19 and 166.41

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Solution

The fourth proportional to 204.93, 283.19 and 166.41 is: 229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.93 : 283.19 = 166.41 : x
  2. Step 2: Convert to fraction form
    204.93/283.19 = 166.41/x
  3. Step 3: Cross multiply
    204.93x = 283.19 × 166.41
  4. Step 4: Simplify right side
    204.93x = 47,124.82
  5. Step 5: Solve for x
    x = 47,124.82/204.93
  6. Step 6: Final answer
    x = 229.96

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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.