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Finding the Fourth Proportional to 192.72, 288.72 and 111.36

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Solution

The fourth proportional to 192.72, 288.72 and 111.36 is: 166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.72 : 288.72 = 111.36 : x
  2. Step 2: Convert to fraction form
    192.72/288.72 = 111.36/x
  3. Step 3: Cross multiply
    192.72x = 288.72 × 111.36
  4. Step 4: Simplify right side
    192.72x = 32,151.86
  5. Step 5: Solve for x
    x = 32,151.86/192.72
  6. Step 6: Final answer
    x = 166.83

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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.