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Finding the Fourth Proportional to 203.28, 280.32 and 144.96

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Solution

The fourth proportional to 203.28, 280.32 and 144.96 is: 199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.28 : 280.32 = 144.96 : x
  2. Step 2: Convert to fraction form
    203.28/280.32 = 144.96/x
  3. Step 3: Cross multiply
    203.28x = 280.32 × 144.96
  4. Step 4: Simplify right side
    203.28x = 40,635.19
  5. Step 5: Solve for x
    x = 40,635.19/203.28
  6. Step 6: Final answer
    x = 199.90

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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.