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Finding the Fourth Proportional to 289.49, 434.00 and 197.96

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Solution

The fourth proportional to 289.49, 434.00 and 197.96 is: 296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.49 : 434.00 = 197.96 : x
  2. Step 2: Convert to fraction form
    289.49/434.00 = 197.96/x
  3. Step 3: Cross multiply
    289.49x = 434.00 × 197.96
  4. Step 4: Simplify right side
    289.49x = 85,913.65
  5. Step 5: Solve for x
    x = 85,913.65/289.49
  6. Step 6: Final answer
    x = 296.78

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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.