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Finding the Fourth Proportional to 744.19, 1,116.20 and 196.42

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Solution

The fourth proportional to 744.19, 1,116.20 and 196.42 is: 294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.19 : 1,116.20 = 196.42 : x
  2. Step 2: Convert to fraction form
    744.19/1,116.20 = 196.42/x
  3. Step 3: Cross multiply
    744.19x = 1,116.20 × 196.42
  4. Step 4: Simplify right side
    744.19x = 219,244.00
  5. Step 5: Solve for x
    x = 219,244.00/744.19
  6. Step 6: Final answer
    x = 294.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.