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Finding the Fourth Proportional to 361.22, 498.46 and 213.83

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Solution

The fourth proportional to 361.22, 498.46 and 213.83 is: 295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.22 : 498.46 = 213.83 : x
  2. Step 2: Convert to fraction form
    361.22/498.46 = 213.83/x
  3. Step 3: Cross multiply
    361.22x = 498.46 × 213.83
  4. Step 4: Simplify right side
    361.22x = 106,582.14
  5. Step 5: Solve for x
    x = 106,582.14/361.22
  6. Step 6: Final answer
    x = 295.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.