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Finding the Fourth Proportional to 225.59, 338.31 and 122.81

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Solution

The fourth proportional to 225.59, 338.31 and 122.81 is: 184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.59 : 338.31 = 122.81 : x
  2. Step 2: Convert to fraction form
    225.59/338.31 = 122.81/x
  3. Step 3: Cross multiply
    225.59x = 338.31 × 122.81
  4. Step 4: Simplify right side
    225.59x = 41,546.16
  5. Step 5: Solve for x
    x = 41,546.16/225.59
  6. Step 6: Final answer
    x = 184.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.