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Finding the Fourth Proportional to 306.68, 425.98 and 298.04

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Solution

The fourth proportional to 306.68, 425.98 and 298.04 is: 413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.68 : 425.98 = 298.04 : x
  2. Step 2: Convert to fraction form
    306.68/425.98 = 298.04/x
  3. Step 3: Cross multiply
    306.68x = 425.98 × 298.04
  4. Step 4: Simplify right side
    306.68x = 126,959.40
  5. Step 5: Solve for x
    x = 126,959.40/306.68
  6. Step 6: Final answer
    x = 413.98

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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.