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Finding the Fourth Proportional to 397.39, 598.80 and 326.83

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Solution

The fourth proportional to 397.39, 598.80 and 326.83 is: 492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.39 : 598.80 = 326.83 : x
  2. Step 2: Convert to fraction form
    397.39/598.80 = 326.83/x
  3. Step 3: Cross multiply
    397.39x = 598.80 × 326.83
  4. Step 4: Simplify right side
    397.39x = 195,705.80
  5. Step 5: Solve for x
    x = 195,705.80/397.39
  6. Step 6: Final answer
    x = 492.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.