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Finding the Fourth Proportional to 208.05, 309.93 and 201.68

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Solution

The fourth proportional to 208.05, 309.93 and 201.68 is: 300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.05 : 309.93 = 201.68 : x
  2. Step 2: Convert to fraction form
    208.05/309.93 = 201.68/x
  3. Step 3: Cross multiply
    208.05x = 309.93 × 201.68
  4. Step 4: Simplify right side
    208.05x = 62,505.13
  5. Step 5: Solve for x
    x = 62,505.13/208.05
  6. Step 6: Final answer
    x = 300.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.