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Finding the Fourth Proportional to 224.52, 334.74 and 206.43

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Solution

The fourth proportional to 224.52, 334.74 and 206.43 is: 307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.52 : 334.74 = 206.43 : x
  2. Step 2: Convert to fraction form
    224.52/334.74 = 206.43/x
  3. Step 3: Cross multiply
    224.52x = 334.74 × 206.43
  4. Step 4: Simplify right side
    224.52x = 69,100.38
  5. Step 5: Solve for x
    x = 69,100.38/224.52
  6. Step 6: Final answer
    x = 307.77

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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.