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Finding the Fourth Proportional to 300.72, 412.62 and 292.56

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Solution

The fourth proportional to 300.72, 412.62 and 292.56 is: 401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.72 : 412.62 = 292.56 : x
  2. Step 2: Convert to fraction form
    300.72/412.62 = 292.56/x
  3. Step 3: Cross multiply
    300.72x = 412.62 × 292.56
  4. Step 4: Simplify right side
    300.72x = 120,716.11
  5. Step 5: Solve for x
    x = 120,716.11/300.72
  6. Step 6: Final answer
    x = 401.42

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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.