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Finding the Fourth Proportional to 300.44, 412.34 and 292.34

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Solution

The fourth proportional to 300.44, 412.34 and 292.34 is: 401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.44 : 412.34 = 292.34 : x
  2. Step 2: Convert to fraction form
    300.44/412.34 = 292.34/x
  3. Step 3: Cross multiply
    300.44x = 412.34 × 292.34
  4. Step 4: Simplify right side
    300.44x = 120,543.48
  5. Step 5: Solve for x
    x = 120,543.48/300.44
  6. Step 6: Final answer
    x = 401.22

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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.