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Finding the Fourth Proportional to 213.87, 318.93 and 205.41

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Solution

The fourth proportional to 213.87, 318.93 and 205.41 is: 306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.87 : 318.93 = 205.41 : x
  2. Step 2: Convert to fraction form
    213.87/318.93 = 205.41/x
  3. Step 3: Cross multiply
    213.87x = 318.93 × 205.41
  4. Step 4: Simplify right side
    213.87x = 65,511.41
  5. Step 5: Solve for x
    x = 65,511.41/213.87
  6. Step 6: Final answer
    x = 306.31

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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.