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Finding the Fourth Proportional to 289.68, 399.58 and 196.43

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Solution

The fourth proportional to 289.68, 399.58 and 196.43 is: 270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.68 : 399.58 = 196.43 : x
  2. Step 2: Convert to fraction form
    289.68/399.58 = 196.43/x
  3. Step 3: Cross multiply
    289.68x = 399.58 × 196.43
  4. Step 4: Simplify right side
    289.68x = 78,488.12
  5. Step 5: Solve for x
    x = 78,488.12/289.68
  6. Step 6: Final answer
    x = 270.95

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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.