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Finding the Fourth Proportional to 327.94, 492.07 and 206.26

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Solution

The fourth proportional to 327.94, 492.07 and 206.26 is: 309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.94 : 492.07 = 206.26 : x
  2. Step 2: Convert to fraction form
    327.94/492.07 = 206.26/x
  3. Step 3: Cross multiply
    327.94x = 492.07 × 206.26
  4. Step 4: Simplify right side
    327.94x = 101,494.36
  5. Step 5: Solve for x
    x = 101,494.36/327.94
  6. Step 6: Final answer
    x = 309.49

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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.