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Finding the Fourth Proportional to 163.99, 226.27 and 94.07

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Solution

The fourth proportional to 163.99, 226.27 and 94.07 is: 129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.99 : 226.27 = 94.07 : x
  2. Step 2: Convert to fraction form
    163.99/226.27 = 94.07/x
  3. Step 3: Cross multiply
    163.99x = 226.27 × 94.07
  4. Step 4: Simplify right side
    163.99x = 21,285.37
  5. Step 5: Solve for x
    x = 21,285.37/163.99
  6. Step 6: Final answer
    x = 129.80

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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.