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Finding the Fourth Proportional to 241.90, 361.32 and 235.42

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Solution

The fourth proportional to 241.90, 361.32 and 235.42 is: 351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.90 : 361.32 = 235.42 : x
  2. Step 2: Convert to fraction form
    241.90/361.32 = 235.42/x
  3. Step 3: Cross multiply
    241.90x = 361.32 × 235.42
  4. Step 4: Simplify right side
    241.90x = 85,061.95
  5. Step 5: Solve for x
    x = 85,061.95/241.90
  6. Step 6: Final answer
    x = 351.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.