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Finding the Fourth Proportional to 143.93, 198.81 and 119.49

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Solution

The fourth proportional to 143.93, 198.81 and 119.49 is: 165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.93 : 198.81 = 119.49 : x
  2. Step 2: Convert to fraction form
    143.93/198.81 = 119.49/x
  3. Step 3: Cross multiply
    143.93x = 198.81 × 119.49
  4. Step 4: Simplify right side
    143.93x = 23,755.81
  5. Step 5: Solve for x
    x = 23,755.81/143.93
  6. Step 6: Final answer
    x = 165.06

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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.