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Finding the Fourth Proportional to 716.21, 1,074.36 and 196.19

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Solution

The fourth proportional to 716.21, 1,074.36 and 196.19 is: 294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.21 : 1,074.36 = 196.19 : x
  2. Step 2: Convert to fraction form
    716.21/1,074.36 = 196.19/x
  3. Step 3: Cross multiply
    716.21x = 1,074.36 × 196.19
  4. Step 4: Simplify right side
    716.21x = 210,773.32
  5. Step 5: Solve for x
    x = 210,773.32/716.21
  6. Step 6: Final answer
    x = 294.29

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Why These Related Problems?

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