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Finding the Fourth Proportional to 241.22, 333.24 and 233

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Solution

The fourth proportional to 241.22, 333.24 and 233 is: 321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.22 : 333.24 = 233 : x
  2. Step 2: Convert to fraction form
    241.22/333.24 = 233/x
  3. Step 3: Cross multiply
    241.22x = 333.24 × 233
  4. Step 4: Simplify right side
    241.22x = 77,644.92
  5. Step 5: Solve for x
    x = 77,644.92/241.22
  6. Step 6: Final answer
    x = 321.88

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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.