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Finding the Fourth Proportional to 224.78, 335.53 and 197.44

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Solution

The fourth proportional to 224.78, 335.53 and 197.44 is: 294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.78 : 335.53 = 197.44 : x
  2. Step 2: Convert to fraction form
    224.78/335.53 = 197.44/x
  3. Step 3: Cross multiply
    224.78x = 335.53 × 197.44
  4. Step 4: Simplify right side
    224.78x = 66,246.17
  5. Step 5: Solve for x
    x = 66,246.17/224.78
  6. Step 6: Final answer
    x = 294.72

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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.