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Finding the Fourth Proportional to 300.68, 414.78 and 201.14

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Solution

The fourth proportional to 300.68, 414.78 and 201.14 is: 277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.68 : 414.78 = 201.14 : x
  2. Step 2: Convert to fraction form
    300.68/414.78 = 201.14/x
  3. Step 3: Cross multiply
    300.68x = 414.78 × 201.14
  4. Step 4: Simplify right side
    300.68x = 83,428.85
  5. Step 5: Solve for x
    x = 83,428.85/300.68
  6. Step 6: Final answer
    x = 277.47

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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.