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Finding the Fourth Proportional to 300.14, 416.12 and 294.20

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Solution

The fourth proportional to 300.14, 416.12 and 294.20 is: 407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.14 : 416.12 = 294.20 : x
  2. Step 2: Convert to fraction form
    300.14/416.12 = 294.20/x
  3. Step 3: Cross multiply
    300.14x = 416.12 × 294.20
  4. Step 4: Simplify right side
    300.14x = 122,422.50
  5. Step 5: Solve for x
    x = 122,422.50/300.14
  6. Step 6: Final answer
    x = 407.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.