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Finding the Fourth Proportional to 241.49, 332.42 and 213.81

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Solution

The fourth proportional to 241.49, 332.42 and 213.81 is: 294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.49 : 332.42 = 213.81 : x
  2. Step 2: Convert to fraction form
    241.49/332.42 = 213.81/x
  3. Step 3: Cross multiply
    241.49x = 332.42 × 213.81
  4. Step 4: Simplify right side
    241.49x = 71,073.65
  5. Step 5: Solve for x
    x = 71,073.65/241.49
  6. Step 6: Final answer
    x = 294.32

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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.