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Finding the Fourth Proportional to 240.88, 331.68 and 213.36

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Solution

The fourth proportional to 240.88, 331.68 and 213.36 is: 293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.88 : 331.68 = 213.36 : x
  2. Step 2: Convert to fraction form
    240.88/331.68 = 213.36/x
  3. Step 3: Cross multiply
    240.88x = 331.68 × 213.36
  4. Step 4: Simplify right side
    240.88x = 70,767.24
  5. Step 5: Solve for x
    x = 70,767.24/240.88
  6. Step 6: Final answer
    x = 293.79

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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.