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Finding the Fourth Proportional to 303.30, 414.22 and 300.06

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Solution

The fourth proportional to 303.30, 414.22 and 300.06 is: 409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.30 : 414.22 = 300.06 : x
  2. Step 2: Convert to fraction form
    303.30/414.22 = 300.06/x
  3. Step 3: Cross multiply
    303.30x = 414.22 × 300.06
  4. Step 4: Simplify right side
    303.30x = 124,290.85
  5. Step 5: Solve for x
    x = 124,290.85/303.30
  6. Step 6: Final answer
    x = 409.80

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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.