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Finding the Fourth Proportional to 224.40, 334.16 and 221.67

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Solution

The fourth proportional to 224.40, 334.16 and 221.67 is: 330.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.40 : 334.16 = 221.67 : x
  2. Step 2: Convert to fraction form
    224.40/334.16 = 221.67/x
  3. Step 3: Cross multiply
    224.40x = 334.16 × 221.67
  4. Step 4: Simplify right side
    224.40x = 74,072.97
  5. Step 5: Solve for x
    x = 74,072.97/224.40
  6. Step 6: Final answer
    x = 330.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.