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Finding the Fourth Proportional to 307.83, 422.30 and 300.09

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Solution

The fourth proportional to 307.83, 422.30 and 300.09 is: 411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.83 : 422.30 = 300.09 : x
  2. Step 2: Convert to fraction form
    307.83/422.30 = 300.09/x
  3. Step 3: Cross multiply
    307.83x = 422.30 × 300.09
  4. Step 4: Simplify right side
    307.83x = 126,726.51
  5. Step 5: Solve for x
    x = 126,726.51/307.83
  6. Step 6: Final answer
    x = 411.68

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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.