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Finding the Fourth Proportional to 226.87, 313.02 and 133.63

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Solution

The fourth proportional to 226.87, 313.02 and 133.63 is: 184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.87 : 313.02 = 133.63 : x
  2. Step 2: Convert to fraction form
    226.87/313.02 = 133.63/x
  3. Step 3: Cross multiply
    226.87x = 313.02 × 133.63
  4. Step 4: Simplify right side
    226.87x = 41,827.30
  5. Step 5: Solve for x
    x = 41,827.30/226.87
  6. Step 6: Final answer
    x = 184.37

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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.