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Finding the Fourth Proportional to 128.62, 176.97 and 105.22

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Solution

The fourth proportional to 128.62, 176.97 and 105.22 is: 144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.62 : 176.97 = 105.22 : x
  2. Step 2: Convert to fraction form
    128.62/176.97 = 105.22/x
  3. Step 3: Cross multiply
    128.62x = 176.97 × 105.22
  4. Step 4: Simplify right side
    128.62x = 18,620.78
  5. Step 5: Solve for x
    x = 18,620.78/128.62
  6. Step 6: Final answer
    x = 144.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.