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Finding the Fourth Proportional to 128.22, 191.22 and 113.76

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Solution

The fourth proportional to 128.22, 191.22 and 113.76 is: 169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.22 : 191.22 = 113.76 : x
  2. Step 2: Convert to fraction form
    128.22/191.22 = 113.76/x
  3. Step 3: Cross multiply
    128.22x = 191.22 × 113.76
  4. Step 4: Simplify right side
    128.22x = 21,753.19
  5. Step 5: Solve for x
    x = 21,753.19/128.22
  6. Step 6: Final answer
    x = 169.66

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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.