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Finding the Fourth Proportional to 203.20, 280.52 and 144.20

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Solution

The fourth proportional to 203.20, 280.52 and 144.20 is: 199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.20 : 280.52 = 144.20 : x
  2. Step 2: Convert to fraction form
    203.20/280.52 = 144.20/x
  3. Step 3: Cross multiply
    203.20x = 280.52 × 144.20
  4. Step 4: Simplify right side
    203.20x = 40,450.98
  5. Step 5: Solve for x
    x = 40,450.98/203.20
  6. Step 6: Final answer
    x = 199.07

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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.