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Finding the Fourth Proportional to 306.98, 426.19 and 298.07

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Solution

The fourth proportional to 306.98, 426.19 and 298.07 is: 413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.98 : 426.19 = 298.07 : x
  2. Step 2: Convert to fraction form
    306.98/426.19 = 298.07/x
  3. Step 3: Cross multiply
    306.98x = 426.19 × 298.07
  4. Step 4: Simplify right side
    306.98x = 127,032.96
  5. Step 5: Solve for x
    x = 127,032.96/306.98
  6. Step 6: Final answer
    x = 413.82

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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.