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Finding the Fourth Proportional to 241.22, 331.65 and 214.74

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Solution

The fourth proportional to 241.22, 331.65 and 214.74 is: 295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.22 : 331.65 = 214.74 : x
  2. Step 2: Convert to fraction form
    241.22/331.65 = 214.74/x
  3. Step 3: Cross multiply
    241.22x = 331.65 × 214.74
  4. Step 4: Simplify right side
    241.22x = 71,218.52
  5. Step 5: Solve for x
    x = 71,218.52/241.22
  6. Step 6: Final answer
    x = 295.25

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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.