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Finding the Fourth Proportional to 192.91, 288.64 and 118.81

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Solution

The fourth proportional to 192.91, 288.64 and 118.81 is: 177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.91 : 288.64 = 118.81 : x
  2. Step 2: Convert to fraction form
    192.91/288.64 = 118.81/x
  3. Step 3: Cross multiply
    192.91x = 288.64 × 118.81
  4. Step 4: Simplify right side
    192.91x = 34,292.30
  5. Step 5: Solve for x
    x = 34,292.30/192.91
  6. Step 6: Final answer
    x = 177.77

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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.