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Finding the Fourth Proportional to 128.41, 192.55 and 109.09

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Solution

The fourth proportional to 128.41, 192.55 and 109.09 is: 163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.41 : 192.55 = 109.09 : x
  2. Step 2: Convert to fraction form
    128.41/192.55 = 109.09/x
  3. Step 3: Cross multiply
    128.41x = 192.55 × 109.09
  4. Step 4: Simplify right side
    128.41x = 21,005.28
  5. Step 5: Solve for x
    x = 21,005.28/128.41
  6. Step 6: Final answer
    x = 163.58

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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.