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Finding the Fourth Proportional to 203.50, 280.02 and 197.83

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Solution

The fourth proportional to 203.50, 280.02 and 197.83 is: 272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.50 : 280.02 = 197.83 : x
  2. Step 2: Convert to fraction form
    203.50/280.02 = 197.83/x
  3. Step 3: Cross multiply
    203.50x = 280.02 × 197.83
  4. Step 4: Simplify right side
    203.50x = 55,396.36
  5. Step 5: Solve for x
    x = 55,396.36/203.50
  6. Step 6: Final answer
    x = 272.22

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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.