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Finding the Fourth Proportional to 361.17, 498.26 and 221.22

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Solution

The fourth proportional to 361.17, 498.26 and 221.22 is: 305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.17 : 498.26 = 221.22 : x
  2. Step 2: Convert to fraction form
    361.17/498.26 = 221.22/x
  3. Step 3: Cross multiply
    361.17x = 498.26 × 221.22
  4. Step 4: Simplify right side
    361.17x = 110,223.97
  5. Step 5: Solve for x
    x = 110,223.97/361.17
  6. Step 6: Final answer
    x = 305.19

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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.