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Finding the Fourth Proportional to 208.07, 309.42 and 201.59

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Solution

The fourth proportional to 208.07, 309.42 and 201.59 is: 299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.07 : 309.42 = 201.59 : x
  2. Step 2: Convert to fraction form
    208.07/309.42 = 201.59/x
  3. Step 3: Cross multiply
    208.07x = 309.42 × 201.59
  4. Step 4: Simplify right side
    208.07x = 62,375.59
  5. Step 5: Solve for x
    x = 62,375.59/208.07
  6. Step 6: Final answer
    x = 299.78

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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.