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Finding the Fourth Proportional to 273.84, 378.38 and 224.68

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Solution

The fourth proportional to 273.84, 378.38 and 224.68 is: 310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.84 : 378.38 = 224.68 : x
  2. Step 2: Convert to fraction form
    273.84/378.38 = 224.68/x
  3. Step 3: Cross multiply
    273.84x = 378.38 × 224.68
  4. Step 4: Simplify right side
    273.84x = 85,014.42
  5. Step 5: Solve for x
    x = 85,014.42/273.84
  6. Step 6: Final answer
    x = 310.45

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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.