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Finding the Fourth Proportional to 213.12, 294 and 198.48

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Solution

The fourth proportional to 213.12, 294 and 198.48 is: 273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.12 : 294 = 198.48 : x
  2. Step 2: Convert to fraction form
    213.12/294 = 198.48/x
  3. Step 3: Cross multiply
    213.12x = 294 × 198.48
  4. Step 4: Simplify right side
    213.12x = 58,353.12
  5. Step 5: Solve for x
    x = 58,353.12/213.12
  6. Step 6: Final answer
    x = 273.80

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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.