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Finding the Fourth Proportional to 192.20, 288.02 and 144.08

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Solution

The fourth proportional to 192.20, 288.02 and 144.08 is: 215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.20 : 288.02 = 144.08 : x
  2. Step 2: Convert to fraction form
    192.20/288.02 = 144.08/x
  3. Step 3: Cross multiply
    192.20x = 288.02 × 144.08
  4. Step 4: Simplify right side
    192.20x = 41,497.92
  5. Step 5: Solve for x
    x = 41,497.92/192.20
  6. Step 6: Final answer
    x = 215.91

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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.