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Finding the Fourth Proportional to 202.22, 278.46 and 197.68

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Solution

The fourth proportional to 202.22, 278.46 and 197.68 is: 272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.22 : 278.46 = 197.68 : x
  2. Step 2: Convert to fraction form
    202.22/278.46 = 197.68/x
  3. Step 3: Cross multiply
    202.22x = 278.46 × 197.68
  4. Step 4: Simplify right side
    202.22x = 55,045.97
  5. Step 5: Solve for x
    x = 55,045.97/202.22
  6. Step 6: Final answer
    x = 272.21

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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.