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Finding the Fourth Proportional to 118.94, 163.72 and 97.07

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Solution

The fourth proportional to 118.94, 163.72 and 97.07 is: 133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.94 : 163.72 = 97.07 : x
  2. Step 2: Convert to fraction form
    118.94/163.72 = 97.07/x
  3. Step 3: Cross multiply
    118.94x = 163.72 × 97.07
  4. Step 4: Simplify right side
    118.94x = 15,891.60
  5. Step 5: Solve for x
    x = 15,891.60/118.94
  6. Step 6: Final answer
    x = 133.62

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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.