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Finding the Fourth Proportional to 306.58, 423.13 and 196.09

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Solution

The fourth proportional to 306.58, 423.13 and 196.09 is: 270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.58 : 423.13 = 196.09 : x
  2. Step 2: Convert to fraction form
    306.58/423.13 = 196.09/x
  3. Step 3: Cross multiply
    306.58x = 423.13 × 196.09
  4. Step 4: Simplify right side
    306.58x = 82,970.58
  5. Step 5: Solve for x
    x = 82,970.58/306.58
  6. Step 6: Final answer
    x = 270.63

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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.