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Finding the Fourth Proportional to 143.93, 216.74 and 119.78

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Solution

The fourth proportional to 143.93, 216.74 and 119.78 is: 180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.93 : 216.74 = 119.78 : x
  2. Step 2: Convert to fraction form
    143.93/216.74 = 119.78/x
  3. Step 3: Cross multiply
    143.93x = 216.74 × 119.78
  4. Step 4: Simplify right side
    143.93x = 25,961.15
  5. Step 5: Solve for x
    x = 25,961.15/143.93
  6. Step 6: Final answer
    x = 180.38

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