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Finding the Fourth Proportional to 300.37, 412.22 and 292.63

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Solution

The fourth proportional to 300.37, 412.22 and 292.63 is: 401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.37 : 412.22 = 292.63 : x
  2. Step 2: Convert to fraction form
    300.37/412.22 = 292.63/x
  3. Step 3: Cross multiply
    300.37x = 412.22 × 292.63
  4. Step 4: Simplify right side
    300.37x = 120,627.94
  5. Step 5: Solve for x
    x = 120,627.94/300.37
  6. Step 6: Final answer
    x = 401.60

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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.