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Finding the Fourth Proportional to 273.78, 412.06 and 205.67

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Solution

The fourth proportional to 273.78, 412.06 and 205.67 is: 309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.78 : 412.06 = 205.67 : x
  2. Step 2: Convert to fraction form
    273.78/412.06 = 205.67/x
  3. Step 3: Cross multiply
    273.78x = 412.06 × 205.67
  4. Step 4: Simplify right side
    273.78x = 84,748.38
  5. Step 5: Solve for x
    x = 84,748.38/273.78
  6. Step 6: Final answer
    x = 309.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.