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Finding the Fourth Proportional to 273.78, 408.67 and 253.75

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Solution

The fourth proportional to 273.78, 408.67 and 253.75 is: 378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.78 : 408.67 = 253.75 : x
  2. Step 2: Convert to fraction form
    273.78/408.67 = 253.75/x
  3. Step 3: Cross multiply
    273.78x = 408.67 × 253.75
  4. Step 4: Simplify right side
    273.78x = 103,700.01
  5. Step 5: Solve for x
    x = 103,700.01/273.78
  6. Step 6: Final answer
    x = 378.77

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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.