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Finding the Fourth Proportional to 241.32, 331.22 and 214.49

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Solution

The fourth proportional to 241.32, 331.22 and 214.49 is: 294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.32 : 331.22 = 214.49 : x
  2. Step 2: Convert to fraction form
    241.32/331.22 = 214.49/x
  3. Step 3: Cross multiply
    241.32x = 331.22 × 214.49
  4. Step 4: Simplify right side
    241.32x = 71,040.65
  5. Step 5: Solve for x
    x = 71,040.65/241.32
  6. Step 6: Final answer
    x = 294.38

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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.