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Finding the Fourth Proportional to 144.67, 217.99 and 119.54

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Solution

The fourth proportional to 144.67, 217.99 and 119.54 is: 180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.67 : 217.99 = 119.54 : x
  2. Step 2: Convert to fraction form
    144.67/217.99 = 119.54/x
  3. Step 3: Cross multiply
    144.67x = 217.99 × 119.54
  4. Step 4: Simplify right side
    144.67x = 26,059.22
  5. Step 5: Solve for x
    x = 26,059.22/144.67
  6. Step 6: Final answer
    x = 180.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.