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Finding the Fourth Proportional to 222.85, 306.66 and 195.31

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Solution

The fourth proportional to 222.85, 306.66 and 195.31 is: 268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.85 : 306.66 = 195.31 : x
  2. Step 2: Convert to fraction form
    222.85/306.66 = 195.31/x
  3. Step 3: Cross multiply
    222.85x = 306.66 × 195.31
  4. Step 4: Simplify right side
    222.85x = 59,893.76
  5. Step 5: Solve for x
    x = 59,893.76/222.85
  6. Step 6: Final answer
    x = 268.76

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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.