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Finding the Fourth Proportional to 226.78, 313 and 139.54

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Solution

The fourth proportional to 226.78, 313 and 139.54 is: 192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.78 : 313 = 139.54 : x
  2. Step 2: Convert to fraction form
    226.78/313 = 139.54/x
  3. Step 3: Cross multiply
    226.78x = 313 × 139.54
  4. Step 4: Simplify right side
    226.78x = 43,676.02
  5. Step 5: Solve for x
    x = 43,676.02/226.78
  6. Step 6: Final answer
    x = 192.59

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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.