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Finding the Fourth Proportional to 192.83, 289.13 and 77.33

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Solution

The fourth proportional to 192.83, 289.13 and 77.33 is: 115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.83 : 289.13 = 77.33 : x
  2. Step 2: Convert to fraction form
    192.83/289.13 = 77.33/x
  3. Step 3: Cross multiply
    192.83x = 289.13 × 77.33
  4. Step 4: Simplify right side
    192.83x = 22,357.70
  5. Step 5: Solve for x
    x = 22,357.70/192.83
  6. Step 6: Final answer
    x = 115.95

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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.