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Finding the Fourth Proportional to 289.39, 433.27 and 197.95

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Solution

The fourth proportional to 289.39, 433.27 and 197.95 is: 296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.39 : 433.27 = 197.95 : x
  2. Step 2: Convert to fraction form
    289.39/433.27 = 197.95/x
  3. Step 3: Cross multiply
    289.39x = 433.27 × 197.95
  4. Step 4: Simplify right side
    289.39x = 85,765.80
  5. Step 5: Solve for x
    x = 85,765.80/289.39
  6. Step 6: Final answer
    x = 296.37

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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.