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Finding the Fourth Proportional to 235.83, 353.88 and 197.22

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Solution

The fourth proportional to 235.83, 353.88 and 197.22 is: 295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.83 : 353.88 = 197.22 : x
  2. Step 2: Convert to fraction form
    235.83/353.88 = 197.22/x
  3. Step 3: Cross multiply
    235.83x = 353.88 × 197.22
  4. Step 4: Simplify right side
    235.83x = 69,792.21
  5. Step 5: Solve for x
    x = 69,792.21/235.83
  6. Step 6: Final answer
    x = 295.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.