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Finding the Fourth Proportional to 224.21, 336.36 and 121.55

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Solution

The fourth proportional to 224.21, 336.36 and 121.55 is: 182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.21 : 336.36 = 121.55 : x
  2. Step 2: Convert to fraction form
    224.21/336.36 = 121.55/x
  3. Step 3: Cross multiply
    224.21x = 336.36 × 121.55
  4. Step 4: Simplify right side
    224.21x = 40,884.56
  5. Step 5: Solve for x
    x = 40,884.56/224.21
  6. Step 6: Final answer
    x = 182.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.