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Finding the Fourth Proportional to 241.20, 331.91 and 234.08

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Solution

The fourth proportional to 241.20, 331.91 and 234.08 is: 322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.20 : 331.91 = 234.08 : x
  2. Step 2: Convert to fraction form
    241.20/331.91 = 234.08/x
  3. Step 3: Cross multiply
    241.20x = 331.91 × 234.08
  4. Step 4: Simplify right side
    241.20x = 77,690.66
  5. Step 5: Solve for x
    x = 77,690.66/241.20
  6. Step 6: Final answer
    x = 322.10

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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.