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Finding the Fourth Proportional to 289.60, 398.11 and 287.84

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Solution

The fourth proportional to 289.60, 398.11 and 287.84 is: 395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.60 : 398.11 = 287.84 : x
  2. Step 2: Convert to fraction form
    289.60/398.11 = 287.84/x
  3. Step 3: Cross multiply
    289.60x = 398.11 × 287.84
  4. Step 4: Simplify right side
    289.60x = 114,591.98
  5. Step 5: Solve for x
    x = 114,591.98/289.60
  6. Step 6: Final answer
    x = 395.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.