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Finding the Fourth Proportional to 241.81, 363.21 and 195.58

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Solution

The fourth proportional to 241.81, 363.21 and 195.58 is: 293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.81 : 363.21 = 195.58 : x
  2. Step 2: Convert to fraction form
    241.81/363.21 = 195.58/x
  3. Step 3: Cross multiply
    241.81x = 363.21 × 195.58
  4. Step 4: Simplify right side
    241.81x = 71,038.45
  5. Step 5: Solve for x
    x = 71,038.45/241.81
  6. Step 6: Final answer
    x = 293.78

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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.