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Finding the Fourth Proportional to 300.94, 451.50 and 203.83

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Solution

The fourth proportional to 300.94, 451.50 and 203.83 is: 305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.94 : 451.50 = 203.83 : x
  2. Step 2: Convert to fraction form
    300.94/451.50 = 203.83/x
  3. Step 3: Cross multiply
    300.94x = 451.50 × 203.83
  4. Step 4: Simplify right side
    300.94x = 92,029.25
  5. Step 5: Solve for x
    x = 92,029.25/300.94
  6. Step 6: Final answer
    x = 305.81

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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.