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Finding the Fourth Proportional to 226.98, 313.28 and 133.80

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Solution

The fourth proportional to 226.98, 313.28 and 133.80 is: 184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.98 : 313.28 = 133.80 : x
  2. Step 2: Convert to fraction form
    226.98/313.28 = 133.80/x
  3. Step 3: Cross multiply
    226.98x = 313.28 × 133.80
  4. Step 4: Simplify right side
    226.98x = 41,917.37
  5. Step 5: Solve for x
    x = 41,917.37/226.98
  6. Step 6: Final answer
    x = 184.67

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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.