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Finding the Fourth Proportional to 133.95, 200.81 and 82.62

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Solution

The fourth proportional to 133.95, 200.81 and 82.62 is: 123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.95 : 200.81 = 82.62 : x
  2. Step 2: Convert to fraction form
    133.95/200.81 = 82.62/x
  3. Step 3: Cross multiply
    133.95x = 200.81 × 82.62
  4. Step 4: Simplify right side
    133.95x = 16,591.13
  5. Step 5: Solve for x
    x = 16,591.13/133.95
  6. Step 6: Final answer
    x = 123.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.