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Finding the Fourth Proportional to 219.07, 327.24 and 197.37

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Solution

The fourth proportional to 219.07, 327.24 and 197.37 is: 294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.07 : 327.24 = 197.37 : x
  2. Step 2: Convert to fraction form
    219.07/327.24 = 197.37/x
  3. Step 3: Cross multiply
    219.07x = 327.24 × 197.37
  4. Step 4: Simplify right side
    219.07x = 64,587.36
  5. Step 5: Solve for x
    x = 64,587.36/219.07
  6. Step 6: Final answer
    x = 294.82

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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.