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Finding the Fourth Proportional to 203.03, 280.19 and 120.09

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Solution

The fourth proportional to 203.03, 280.19 and 120.09 is: 165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.03 : 280.19 = 120.09 : x
  2. Step 2: Convert to fraction form
    203.03/280.19 = 120.09/x
  3. Step 3: Cross multiply
    203.03x = 280.19 × 120.09
  4. Step 4: Simplify right side
    203.03x = 33,648.32
  5. Step 5: Solve for x
    x = 33,648.32/203.03
  6. Step 6: Final answer
    x = 165.73

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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.