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Finding the Fourth Proportional to 219.61, 327.92 and 196.52

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Solution

The fourth proportional to 219.61, 327.92 and 196.52 is: 293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.61 : 327.92 = 196.52 : x
  2. Step 2: Convert to fraction form
    219.61/327.92 = 196.52/x
  3. Step 3: Cross multiply
    219.61x = 327.92 × 196.52
  4. Step 4: Simplify right side
    219.61x = 64,442.84
  5. Step 5: Solve for x
    x = 64,442.84/219.61
  6. Step 6: Final answer
    x = 293.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.