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Finding the Fourth Proportional to 270.41, 372.65 and 196.58

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Solution

The fourth proportional to 270.41, 372.65 and 196.58 is: 270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.41 : 372.65 = 196.58 : x
  2. Step 2: Convert to fraction form
    270.41/372.65 = 196.58/x
  3. Step 3: Cross multiply
    270.41x = 372.65 × 196.58
  4. Step 4: Simplify right side
    270.41x = 73,255.49
  5. Step 5: Solve for x
    x = 73,255.49/270.41
  6. Step 6: Final answer
    x = 270.91

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