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Finding the Fourth Proportional to 241.82, 334.14 and 209.01

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Solution

The fourth proportional to 241.82, 334.14 and 209.01 is: 288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.82 : 334.14 = 209.01 : x
  2. Step 2: Convert to fraction form
    241.82/334.14 = 209.01/x
  3. Step 3: Cross multiply
    241.82x = 334.14 × 209.01
  4. Step 4: Simplify right side
    241.82x = 69,838.60
  5. Step 5: Solve for x
    x = 69,838.60/241.82
  6. Step 6: Final answer
    x = 288.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.