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Finding the Fourth Proportional to 224.08, 308.55 and 196.29

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Solution

The fourth proportional to 224.08, 308.55 and 196.29 is: 270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.08 : 308.55 = 196.29 : x
  2. Step 2: Convert to fraction form
    224.08/308.55 = 196.29/x
  3. Step 3: Cross multiply
    224.08x = 308.55 × 196.29
  4. Step 4: Simplify right side
    224.08x = 60,565.28
  5. Step 5: Solve for x
    x = 60,565.28/224.08
  6. Step 6: Final answer
    x = 270.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.