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Finding the Fourth Proportional to 204.09, 306.20 and 94.42

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Solution

The fourth proportional to 204.09, 306.20 and 94.42 is: 141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.09 : 306.20 = 94.42 : x
  2. Step 2: Convert to fraction form
    204.09/306.20 = 94.42/x
  3. Step 3: Cross multiply
    204.09x = 306.20 × 94.42
  4. Step 4: Simplify right side
    204.09x = 28,911.40
  5. Step 5: Solve for x
    x = 28,911.40/204.09
  6. Step 6: Final answer
    x = 141.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.