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Finding the Fourth Proportional to 224.52, 334.69 and 212.36

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Solution

The fourth proportional to 224.52, 334.69 and 212.36 is: 316.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.52 : 334.69 = 212.36 : x
  2. Step 2: Convert to fraction form
    224.52/334.69 = 212.36/x
  3. Step 3: Cross multiply
    224.52x = 334.69 × 212.36
  4. Step 4: Simplify right side
    224.52x = 71,074.77
  5. Step 5: Solve for x
    x = 71,074.77/224.52
  6. Step 6: Final answer
    x = 316.56

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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.