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Finding the Fourth Proportional to 241.56, 331.30 and 231.64

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Solution

The fourth proportional to 241.56, 331.30 and 231.64 is: 317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.56 : 331.30 = 231.64 : x
  2. Step 2: Convert to fraction form
    241.56/331.30 = 231.64/x
  3. Step 3: Cross multiply
    241.56x = 331.30 × 231.64
  4. Step 4: Simplify right side
    241.56x = 76,742.33
  5. Step 5: Solve for x
    x = 76,742.33/241.56
  6. Step 6: Final answer
    x = 317.69

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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.