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Finding the Fourth Proportional to 118.71, 164.16 and 107.82

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Solution

The fourth proportional to 118.71, 164.16 and 107.82 is: 149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.71 : 164.16 = 107.82 : x
  2. Step 2: Convert to fraction form
    118.71/164.16 = 107.82/x
  3. Step 3: Cross multiply
    118.71x = 164.16 × 107.82
  4. Step 4: Simplify right side
    118.71x = 17,699.73
  5. Step 5: Solve for x
    x = 17,699.73/118.71
  6. Step 6: Final answer
    x = 149.10

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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.