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Finding the Fourth Proportional to 128.37, 191.82 and 96.89

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Solution

The fourth proportional to 128.37, 191.82 and 96.89 is: 144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.37 : 191.82 = 96.89 : x
  2. Step 2: Convert to fraction form
    128.37/191.82 = 96.89/x
  3. Step 3: Cross multiply
    128.37x = 191.82 × 96.89
  4. Step 4: Simplify right side
    128.37x = 18,585.44
  5. Step 5: Solve for x
    x = 18,585.44/128.37
  6. Step 6: Final answer
    x = 144.78

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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.