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Finding the Fourth Proportional to 226.77, 313.00 and 189.87

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Solution

The fourth proportional to 226.77, 313.00 and 189.87 is: 262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.77 : 313.00 = 189.87 : x
  2. Step 2: Convert to fraction form
    226.77/313.00 = 189.87/x
  3. Step 3: Cross multiply
    226.77x = 313.00 × 189.87
  4. Step 4: Simplify right side
    226.77x = 59,427.66
  5. Step 5: Solve for x
    x = 59,427.66/226.77
  6. Step 6: Final answer
    x = 262.07

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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.