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Finding the Fourth Proportional to 492.97, 739.79 and 204.41

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Solution

The fourth proportional to 492.97, 739.79 and 204.41 is: 306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.97 : 739.79 = 204.41 : x
  2. Step 2: Convert to fraction form
    492.97/739.79 = 204.41/x
  3. Step 3: Cross multiply
    492.97x = 739.79 × 204.41
  4. Step 4: Simplify right side
    492.97x = 151,216.77
  5. Step 5: Solve for x
    x = 151,216.77/492.97
  6. Step 6: Final answer
    x = 306.75

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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.