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Finding the Fourth Proportional to 143.75, 198.46 and 109.19

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Solution

The fourth proportional to 143.75, 198.46 and 109.19 is: 150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.75 : 198.46 = 109.19 : x
  2. Step 2: Convert to fraction form
    143.75/198.46 = 109.19/x
  3. Step 3: Cross multiply
    143.75x = 198.46 × 109.19
  4. Step 4: Simplify right side
    143.75x = 21,669.85
  5. Step 5: Solve for x
    x = 21,669.85/143.75
  6. Step 6: Final answer
    x = 150.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.