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Finding the Fourth Proportional to 493.09, 739.68 and 200.50

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Solution

The fourth proportional to 493.09, 739.68 and 200.50 is: 300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.09 : 739.68 = 200.50 : x
  2. Step 2: Convert to fraction form
    493.09/739.68 = 200.50/x
  3. Step 3: Cross multiply
    493.09x = 739.68 × 200.50
  4. Step 4: Simplify right side
    493.09x = 148,305.84
  5. Step 5: Solve for x
    x = 148,305.84/493.09
  6. Step 6: Final answer
    x = 300.77

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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.