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Finding the Fourth Proportional to 118.30, 164.38 and 116.85

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Solution

The fourth proportional to 118.30, 164.38 and 116.85 is: 162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.30 : 164.38 = 116.85 : x
  2. Step 2: Convert to fraction form
    118.30/164.38 = 116.85/x
  3. Step 3: Cross multiply
    118.30x = 164.38 × 116.85
  4. Step 4: Simplify right side
    118.30x = 19,207.80
  5. Step 5: Solve for x
    x = 19,207.80/118.30
  6. Step 6: Final answer
    x = 162.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.