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Finding the Fourth Proportional to 307.80, 426.96 and 297.44

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Solution

The fourth proportional to 307.80, 426.96 and 297.44 is: 412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.80 : 426.96 = 297.44 : x
  2. Step 2: Convert to fraction form
    307.80/426.96 = 297.44/x
  3. Step 3: Cross multiply
    307.80x = 426.96 × 297.44
  4. Step 4: Simplify right side
    307.80x = 126,994.98
  5. Step 5: Solve for x
    x = 126,994.98/307.80
  6. Step 6: Final answer
    x = 412.59

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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.