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Finding the Fourth Proportional to 496.25, 744.61 and 203.84

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Solution

The fourth proportional to 496.25, 744.61 and 203.84 is: 305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.25 : 744.61 = 203.84 : x
  2. Step 2: Convert to fraction form
    496.25/744.61 = 203.84/x
  3. Step 3: Cross multiply
    496.25x = 744.61 × 203.84
  4. Step 4: Simplify right side
    496.25x = 151,778.77
  5. Step 5: Solve for x
    x = 151,778.77/496.25
  6. Step 6: Final answer
    x = 305.85

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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.