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Finding the Fourth Proportional to 204.37, 306.21 and 165.79

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Solution

The fourth proportional to 204.37, 306.21 and 165.79 is: 248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.37 : 306.21 = 165.79 : x
  2. Step 2: Convert to fraction form
    204.37/306.21 = 165.79/x
  3. Step 3: Cross multiply
    204.37x = 306.21 × 165.79
  4. Step 4: Simplify right side
    204.37x = 50,766.56
  5. Step 5: Solve for x
    x = 50,766.56/204.37
  6. Step 6: Final answer
    x = 248.41

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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.