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Finding the Fourth Proportional to 222.28, 334.75 and 195.52

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Solution

The fourth proportional to 222.28, 334.75 and 195.52 is: 294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.28 : 334.75 = 195.52 : x
  2. Step 2: Convert to fraction form
    222.28/334.75 = 195.52/x
  3. Step 3: Cross multiply
    222.28x = 334.75 × 195.52
  4. Step 4: Simplify right side
    222.28x = 65,450.32
  5. Step 5: Solve for x
    x = 65,450.32/222.28
  6. Step 6: Final answer
    x = 294.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.