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Finding the Fourth Proportional to 241.05, 360.97 and 189.98

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Solution

The fourth proportional to 241.05, 360.97 and 189.98 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.05 : 360.97 = 189.98 : x
  2. Step 2: Convert to fraction form
    241.05/360.97 = 189.98/x
  3. Step 3: Cross multiply
    241.05x = 360.97 × 189.98
  4. Step 4: Simplify right side
    241.05x = 68,577.08
  5. Step 5: Solve for x
    x = 68,577.08/241.05
  6. Step 6: Final answer
    x = 284.49

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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.