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Finding the Fourth Proportional to 306.55, 423.02 and 196.05

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Solution

The fourth proportional to 306.55, 423.02 and 196.05 is: 270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.55 : 423.02 = 196.05 : x
  2. Step 2: Convert to fraction form
    306.55/423.02 = 196.05/x
  3. Step 3: Cross multiply
    306.55x = 423.02 × 196.05
  4. Step 4: Simplify right side
    306.55x = 82,935.15
  5. Step 5: Solve for x
    x = 82,935.15/306.55
  6. Step 6: Final answer
    x = 270.54

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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.