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Finding the Fourth Proportional to 361.09, 498.32 and 221.23

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Solution

The fourth proportional to 361.09, 498.32 and 221.23 is: 305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.09 : 498.32 = 221.23 : x
  2. Step 2: Convert to fraction form
    361.09/498.32 = 221.23/x
  3. Step 3: Cross multiply
    361.09x = 498.32 × 221.23
  4. Step 4: Simplify right side
    361.09x = 110,243.33
  5. Step 5: Solve for x
    x = 110,243.33/361.09
  6. Step 6: Final answer
    x = 305.31

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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.