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Finding the Fourth Proportional to 241.66, 361.60 and 209.54

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Solution

The fourth proportional to 241.66, 361.60 and 209.54 is: 313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.66 : 361.60 = 209.54 : x
  2. Step 2: Convert to fraction form
    241.66/361.60 = 209.54/x
  3. Step 3: Cross multiply
    241.66x = 361.60 × 209.54
  4. Step 4: Simplify right side
    241.66x = 75,769.66
  5. Step 5: Solve for x
    x = 75,769.66/241.66
  6. Step 6: Final answer
    x = 313.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.