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Finding the Fourth Proportional to 144.27, 217.47 and 120.39

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Solution

The fourth proportional to 144.27, 217.47 and 120.39 is: 181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.27 : 217.47 = 120.39 : x
  2. Step 2: Convert to fraction form
    144.27/217.47 = 120.39/x
  3. Step 3: Cross multiply
    144.27x = 217.47 × 120.39
  4. Step 4: Simplify right side
    144.27x = 26,181.21
  5. Step 5: Solve for x
    x = 26,181.21/144.27
  6. Step 6: Final answer
    x = 181.47

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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.