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Finding the Fourth Proportional to 192.93, 289.24 and 77.36

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Solution

The fourth proportional to 192.93, 289.24 and 77.36 is: 115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.93 : 289.24 = 77.36 : x
  2. Step 2: Convert to fraction form
    192.93/289.24 = 77.36/x
  3. Step 3: Cross multiply
    192.93x = 289.24 × 77.36
  4. Step 4: Simplify right side
    192.93x = 22,375.61
  5. Step 5: Solve for x
    x = 22,375.61/192.93
  6. Step 6: Final answer
    x = 115.98

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Why These Related Problems?

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