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Finding the Fourth Proportional to 273.72, 378.28 and 224.51

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Solution

The fourth proportional to 273.72, 378.28 and 224.51 is: 310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.72 : 378.28 = 224.51 : x
  2. Step 2: Convert to fraction form
    273.72/378.28 = 224.51/x
  3. Step 3: Cross multiply
    273.72x = 378.28 × 224.51
  4. Step 4: Simplify right side
    273.72x = 84,927.94
  5. Step 5: Solve for x
    x = 84,927.94/273.72
  6. Step 6: Final answer
    x = 310.28

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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.