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Finding the Fourth Proportional to 222.65, 305.62 and 197.54

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Solution

The fourth proportional to 222.65, 305.62 and 197.54 is: 271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.65 : 305.62 = 197.54 : x
  2. Step 2: Convert to fraction form
    222.65/305.62 = 197.54/x
  3. Step 3: Cross multiply
    222.65x = 305.62 × 197.54
  4. Step 4: Simplify right side
    222.65x = 60,369.66
  5. Step 5: Solve for x
    x = 60,369.66/222.65
  6. Step 6: Final answer
    x = 271.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.