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Finding the Fourth Proportional to 118.92, 164.07 and 106.47

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Solution

The fourth proportional to 118.92, 164.07 and 106.47 is: 146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.92 : 164.07 = 106.47 : x
  2. Step 2: Convert to fraction form
    118.92/164.07 = 106.47/x
  3. Step 3: Cross multiply
    118.92x = 164.07 × 106.47
  4. Step 4: Simplify right side
    118.92x = 17,468.53
  5. Step 5: Solve for x
    x = 17,468.53/118.92
  6. Step 6: Final answer
    x = 146.89

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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.