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Finding the Fourth Proportional to 222.04, 306.18 and 197.44

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Solution

The fourth proportional to 222.04, 306.18 and 197.44 is: 272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.04 : 306.18 = 197.44 : x
  2. Step 2: Convert to fraction form
    222.04/306.18 = 197.44/x
  3. Step 3: Cross multiply
    222.04x = 306.18 × 197.44
  4. Step 4: Simplify right side
    222.04x = 60,451.41
  5. Step 5: Solve for x
    x = 60,451.41/222.04
  6. Step 6: Final answer
    x = 272.25

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Why These Related Problems?

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