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Finding the Fourth Proportional to 219.76, 330.86 and 197.44

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Solution

The fourth proportional to 219.76, 330.86 and 197.44 is: 297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.76 : 330.86 = 197.44 : x
  2. Step 2: Convert to fraction form
    219.76/330.86 = 197.44/x
  3. Step 3: Cross multiply
    219.76x = 330.86 × 197.44
  4. Step 4: Simplify right side
    219.76x = 65,324.11
  5. Step 5: Solve for x
    x = 65,324.11/219.76
  6. Step 6: Final answer
    x = 297.25

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Why These Related Problems?

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