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Finding the Fourth Proportional to 220.56, 332.14 and 196.72

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Solution

The fourth proportional to 220.56, 332.14 and 196.72 is: 296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.56 : 332.14 = 196.72 : x
  2. Step 2: Convert to fraction form
    220.56/332.14 = 196.72/x
  3. Step 3: Cross multiply
    220.56x = 332.14 × 196.72
  4. Step 4: Simplify right side
    220.56x = 65,338.58
  5. Step 5: Solve for x
    x = 65,338.58/220.56
  6. Step 6: Final answer
    x = 296.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.