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Finding the Fourth Proportional to 192.36, 288.32 and 76.78

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Solution

The fourth proportional to 192.36, 288.32 and 76.78 is: 115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.36 : 288.32 = 76.78 : x
  2. Step 2: Convert to fraction form
    192.36/288.32 = 76.78/x
  3. Step 3: Cross multiply
    192.36x = 288.32 × 76.78
  4. Step 4: Simplify right side
    192.36x = 22,137.21
  5. Step 5: Solve for x
    x = 22,137.21/192.36
  6. Step 6: Final answer
    x = 115.08

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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.