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Finding the Fourth Proportional to 238.97, 357.48 and 206.81

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Solution

The fourth proportional to 238.97, 357.48 and 206.81 is: 309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.97 : 357.48 = 206.81 : x
  2. Step 2: Convert to fraction form
    238.97/357.48 = 206.81/x
  3. Step 3: Cross multiply
    238.97x = 357.48 × 206.81
  4. Step 4: Simplify right side
    238.97x = 73,928.65
  5. Step 5: Solve for x
    x = 73,928.65/238.97
  6. Step 6: Final answer
    x = 309.37

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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.