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Finding the Fourth Proportional to 306.80, 426.14 and 297.68

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Solution

The fourth proportional to 306.80, 426.14 and 297.68 is: 413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.80 : 426.14 = 297.68 : x
  2. Step 2: Convert to fraction form
    306.80/426.14 = 297.68/x
  3. Step 3: Cross multiply
    306.80x = 426.14 × 297.68
  4. Step 4: Simplify right side
    306.80x = 126,853.36
  5. Step 5: Solve for x
    x = 126,853.36/306.80
  6. Step 6: Final answer
    x = 413.47

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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.