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Finding the Fourth Proportional to 361.41, 498.78 and 221.57

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Solution

The fourth proportional to 361.41, 498.78 and 221.57 is: 305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.41 : 498.78 = 221.57 : x
  2. Step 2: Convert to fraction form
    361.41/498.78 = 221.57/x
  3. Step 3: Cross multiply
    361.41x = 498.78 × 221.57
  4. Step 4: Simplify right side
    361.41x = 110,512.19
  5. Step 5: Solve for x
    x = 110,512.19/361.41
  6. Step 6: Final answer
    x = 305.78

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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.