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Finding the Fourth Proportional to 128.34, 191.42 and 113.22

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Solution

The fourth proportional to 128.34, 191.42 and 113.22 is: 168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.34 : 191.42 = 113.22 : x
  2. Step 2: Convert to fraction form
    128.34/191.42 = 113.22/x
  3. Step 3: Cross multiply
    128.34x = 191.42 × 113.22
  4. Step 4: Simplify right side
    128.34x = 21,672.01
  5. Step 5: Solve for x
    x = 21,672.01/128.34
  6. Step 6: Final answer
    x = 168.86

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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.