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Finding the Fourth Proportional to 241.82, 362.98 and 139.22

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Solution

The fourth proportional to 241.82, 362.98 and 139.22 is: 208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.82 : 362.98 = 139.22 : x
  2. Step 2: Convert to fraction form
    241.82/362.98 = 139.22/x
  3. Step 3: Cross multiply
    241.82x = 362.98 × 139.22
  4. Step 4: Simplify right side
    241.82x = 50,534.08
  5. Step 5: Solve for x
    x = 50,534.08/241.82
  6. Step 6: Final answer
    x = 208.97

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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.