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Finding the Fourth Proportional to 241.84, 361.22 and 214.96

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Solution

The fourth proportional to 241.84, 361.22 and 214.96 is: 321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.84 : 361.22 = 214.96 : x
  2. Step 2: Convert to fraction form
    241.84/361.22 = 214.96/x
  3. Step 3: Cross multiply
    241.84x = 361.22 × 214.96
  4. Step 4: Simplify right side
    241.84x = 77,647.85
  5. Step 5: Solve for x
    x = 77,647.85/241.84
  6. Step 6: Final answer
    x = 321.07

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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.