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Finding the Fourth Proportional to 273.28, 407.72 and 251.68

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Solution

The fourth proportional to 273.28, 407.72 and 251.68 is: 375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.28 : 407.72 = 251.68 : x
  2. Step 2: Convert to fraction form
    273.28/407.72 = 251.68/x
  3. Step 3: Cross multiply
    273.28x = 407.72 × 251.68
  4. Step 4: Simplify right side
    273.28x = 102,614.97
  5. Step 5: Solve for x
    x = 102,614.97/273.28
  6. Step 6: Final answer
    x = 375.49

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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.