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Finding the Fourth Proportional to 300.60, 412.20 and 300.60

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Solution

The fourth proportional to 300.60, 412.20 and 300.60 is: 412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.60 : 412.20 = 300.60 : x
  2. Step 2: Convert to fraction form
    300.60/412.20 = 300.60/x
  3. Step 3: Cross multiply
    300.60x = 412.20 × 300.60
  4. Step 4: Simplify right side
    300.60x = 123,907.32
  5. Step 5: Solve for x
    x = 123,907.32/300.60
  6. Step 6: Final answer
    x = 412.20

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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.