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Finding the Fourth Proportional to 192.72, 288.92 and 165.19

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Solution

The fourth proportional to 192.72, 288.92 and 165.19 is: 247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.72 : 288.92 = 165.19 : x
  2. Step 2: Convert to fraction form
    192.72/288.92 = 165.19/x
  3. Step 3: Cross multiply
    192.72x = 288.92 × 165.19
  4. Step 4: Simplify right side
    192.72x = 47,726.69
  5. Step 5: Solve for x
    x = 47,726.69/192.72
  6. Step 6: Final answer
    x = 247.65

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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.