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Finding the Fourth Proportional to 203.44, 280.72 and 116.10

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Solution

The fourth proportional to 203.44, 280.72 and 116.10 is: 160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.44 : 280.72 = 116.10 : x
  2. Step 2: Convert to fraction form
    203.44/280.72 = 116.10/x
  3. Step 3: Cross multiply
    203.44x = 280.72 × 116.10
  4. Step 4: Simplify right side
    203.44x = 32,591.59
  5. Step 5: Solve for x
    x = 32,591.59/203.44
  6. Step 6: Final answer
    x = 160.20

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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.