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Finding the Fourth Proportional to 300.78, 412.37 and 292.62

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Solution

The fourth proportional to 300.78, 412.37 and 292.62 is: 401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.78 : 412.37 = 292.62 : x
  2. Step 2: Convert to fraction form
    300.78/412.37 = 292.62/x
  3. Step 3: Cross multiply
    300.78x = 412.37 × 292.62
  4. Step 4: Simplify right side
    300.78x = 120,666.25
  5. Step 5: Solve for x
    x = 120,666.25/300.78
  6. Step 6: Final answer
    x = 401.18

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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.