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Finding the Fourth Proportional to 350.78, 484.24 and 203.39

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Solution

The fourth proportional to 350.78, 484.24 and 203.39 is: 280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.78 : 484.24 = 203.39 : x
  2. Step 2: Convert to fraction form
    350.78/484.24 = 203.39/x
  3. Step 3: Cross multiply
    350.78x = 484.24 × 203.39
  4. Step 4: Simplify right side
    350.78x = 98,489.57
  5. Step 5: Solve for x
    x = 98,489.57/350.78
  6. Step 6: Final answer
    x = 280.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.