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Finding the Fourth Proportional to 226.92, 313.41 and 153.11

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Solution

The fourth proportional to 226.92, 313.41 and 153.11 is: 211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.92 : 313.41 = 153.11 : x
  2. Step 2: Convert to fraction form
    226.92/313.41 = 153.11/x
  3. Step 3: Cross multiply
    226.92x = 313.41 × 153.11
  4. Step 4: Simplify right side
    226.92x = 47,986.21
  5. Step 5: Solve for x
    x = 47,986.21/226.92
  6. Step 6: Final answer
    x = 211.47

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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.