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Finding the Fourth Proportional to 222.35, 306.65 and 200.75

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Solution

The fourth proportional to 222.35, 306.65 and 200.75 is: 276.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.35 : 306.65 = 200.75 : x
  2. Step 2: Convert to fraction form
    222.35/306.65 = 200.75/x
  3. Step 3: Cross multiply
    222.35x = 306.65 × 200.75
  4. Step 4: Simplify right side
    222.35x = 61,558.96
  5. Step 5: Solve for x
    x = 61,558.96/222.35
  6. Step 6: Final answer
    x = 276.86

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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.