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Finding the Fourth Proportional to 143.82, 198.33 and 116.18

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Solution

The fourth proportional to 143.82, 198.33 and 116.18 is: 160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.82 : 198.33 = 116.18 : x
  2. Step 2: Convert to fraction form
    143.82/198.33 = 116.18/x
  3. Step 3: Cross multiply
    143.82x = 198.33 × 116.18
  4. Step 4: Simplify right side
    143.82x = 23,041.98
  5. Step 5: Solve for x
    x = 23,041.98/143.82
  6. Step 6: Final answer
    x = 160.21

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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.