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Finding the Fourth Proportional to 192.40, 288.50 and 96.22

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Solution

The fourth proportional to 192.40, 288.50 and 96.22 is: 144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.40 : 288.50 = 96.22 : x
  2. Step 2: Convert to fraction form
    192.40/288.50 = 96.22/x
  3. Step 3: Cross multiply
    192.40x = 288.50 × 96.22
  4. Step 4: Simplify right side
    192.40x = 27,759.47
  5. Step 5: Solve for x
    x = 27,759.47/192.40
  6. Step 6: Final answer
    x = 144.28

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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.