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Finding the Fourth Proportional to 119.73, 166.36 and 118.25

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Solution

The fourth proportional to 119.73, 166.36 and 118.25 is: 164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.73 : 166.36 = 118.25 : x
  2. Step 2: Convert to fraction form
    119.73/166.36 = 118.25/x
  3. Step 3: Cross multiply
    119.73x = 166.36 × 118.25
  4. Step 4: Simplify right side
    119.73x = 19,672.07
  5. Step 5: Solve for x
    x = 19,672.07/119.73
  6. Step 6: Final answer
    x = 164.30

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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.