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Finding the Fourth Proportional to 223.64, 333.71 and 222.37

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Solution

The fourth proportional to 223.64, 333.71 and 222.37 is: 331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.64 : 333.71 = 222.37 : x
  2. Step 2: Convert to fraction form
    223.64/333.71 = 222.37/x
  3. Step 3: Cross multiply
    223.64x = 333.71 × 222.37
  4. Step 4: Simplify right side
    223.64x = 74,206.81
  5. Step 5: Solve for x
    x = 74,206.81/223.64
  6. Step 6: Final answer
    x = 331.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.