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Finding the Fourth Proportional to 241.02, 331.56 and 213.48

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Solution

The fourth proportional to 241.02, 331.56 and 213.48 is: 293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.02 : 331.56 = 213.48 : x
  2. Step 2: Convert to fraction form
    241.02/331.56 = 213.48/x
  3. Step 3: Cross multiply
    241.02x = 331.56 × 213.48
  4. Step 4: Simplify right side
    241.02x = 70,781.43
  5. Step 5: Solve for x
    x = 70,781.43/241.02
  6. Step 6: Final answer
    x = 293.67

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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.