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Finding the Fourth Proportional to 394.44, 588.42 and 362.68

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Solution

The fourth proportional to 394.44, 588.42 and 362.68 is: 541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.44 : 588.42 = 362.68 : x
  2. Step 2: Convert to fraction form
    394.44/588.42 = 362.68/x
  3. Step 3: Cross multiply
    394.44x = 588.42 × 362.68
  4. Step 4: Simplify right side
    394.44x = 213,408.17
  5. Step 5: Solve for x
    x = 213,408.17/394.44
  6. Step 6: Final answer
    x = 541.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.