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Finding the Fourth Proportional to 203.02, 280.19 and 120.20

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Solution

The fourth proportional to 203.02, 280.19 and 120.20 is: 165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.02 : 280.19 = 120.20 : x
  2. Step 2: Convert to fraction form
    203.02/280.19 = 120.20/x
  3. Step 3: Cross multiply
    203.02x = 280.19 × 120.20
  4. Step 4: Simplify right side
    203.02x = 33,677.74
  5. Step 5: Solve for x
    x = 33,677.74/203.02
  6. Step 6: Final answer
    x = 165.89

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