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Finding the Fourth Proportional to 243.54, 363.66 and 197.37

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Solution

The fourth proportional to 243.54, 363.66 and 197.37 is: 294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.54 : 363.66 = 197.37 : x
  2. Step 2: Convert to fraction form
    243.54/363.66 = 197.37/x
  3. Step 3: Cross multiply
    243.54x = 363.66 × 197.37
  4. Step 4: Simplify right side
    243.54x = 71,774.83
  5. Step 5: Solve for x
    x = 71,774.83/243.54
  6. Step 6: Final answer
    x = 294.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.