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Finding the Fourth Proportional to 128.88, 192.24 and 120.96

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Solution

The fourth proportional to 128.88, 192.24 and 120.96 is: 180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.88 : 192.24 = 120.96 : x
  2. Step 2: Convert to fraction form
    128.88/192.24 = 120.96/x
  3. Step 3: Cross multiply
    128.88x = 192.24 × 120.96
  4. Step 4: Simplify right side
    128.88x = 23,253.35
  5. Step 5: Solve for x
    x = 23,253.35/128.88
  6. Step 6: Final answer
    x = 180.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.