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Finding the Fourth Proportional to 204.41, 282.82 and 178.23

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Solution

The fourth proportional to 204.41, 282.82 and 178.23 is: 246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.41 : 282.82 = 178.23 : x
  2. Step 2: Convert to fraction form
    204.41/282.82 = 178.23/x
  3. Step 3: Cross multiply
    204.41x = 282.82 × 178.23
  4. Step 4: Simplify right side
    204.41x = 50,407.01
  5. Step 5: Solve for x
    x = 50,407.01/204.41
  6. Step 6: Final answer
    x = 246.60

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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.