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Finding the Fourth Proportional to 226.06, 311.65 and 189.16

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Solution

The fourth proportional to 226.06, 311.65 and 189.16 is: 260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.06 : 311.65 = 189.16 : x
  2. Step 2: Convert to fraction form
    226.06/311.65 = 189.16/x
  3. Step 3: Cross multiply
    226.06x = 311.65 × 189.16
  4. Step 4: Simplify right side
    226.06x = 58,950.46
  5. Step 5: Solve for x
    x = 58,950.46/226.06
  6. Step 6: Final answer
    x = 260.78

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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.