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Finding the Fourth Proportional to 213.32, 318.14 and 198.74

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Solution

The fourth proportional to 213.32, 318.14 and 198.74 is: 296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.32 : 318.14 = 198.74 : x
  2. Step 2: Convert to fraction form
    213.32/318.14 = 198.74/x
  3. Step 3: Cross multiply
    213.32x = 318.14 × 198.74
  4. Step 4: Simplify right side
    213.32x = 63,224.56
  5. Step 5: Solve for x
    x = 63,224.56/213.32
  6. Step 6: Final answer
    x = 296.39

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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.