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Finding the Fourth Proportional to 213.94, 293.42 and 205.12

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Solution

The fourth proportional to 213.94, 293.42 and 205.12 is: 281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.94 : 293.42 = 205.12 : x
  2. Step 2: Convert to fraction form
    213.94/293.42 = 205.12/x
  3. Step 3: Cross multiply
    213.94x = 293.42 × 205.12
  4. Step 4: Simplify right side
    213.94x = 60,186.31
  5. Step 5: Solve for x
    x = 60,186.31/213.94
  6. Step 6: Final answer
    x = 281.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.