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Finding the Fourth Proportional to 223.63, 308.21 and 197.07

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Solution

The fourth proportional to 223.63, 308.21 and 197.07 is: 271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.63 : 308.21 = 197.07 : x
  2. Step 2: Convert to fraction form
    223.63/308.21 = 197.07/x
  3. Step 3: Cross multiply
    223.63x = 308.21 × 197.07
  4. Step 4: Simplify right side
    223.63x = 60,736.80
  5. Step 5: Solve for x
    x = 60,736.80/223.63
  6. Step 6: Final answer
    x = 271.60

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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.