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Finding the Fourth Proportional to 77.25, 105.44 and 76.21

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Solution

The fourth proportional to 77.25, 105.44 and 76.21 is: 104.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.25 : 105.44 = 76.21 : x
  2. Step 2: Convert to fraction form
    77.25/105.44 = 76.21/x
  3. Step 3: Cross multiply
    77.25x = 105.44 × 76.21
  4. Step 4: Simplify right side
    77.25x = 8,034.94
  5. Step 5: Solve for x
    x = 8,034.94/77.25
  6. Step 6: Final answer
    x = 104.01

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.