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Finding the Fourth Proportional to 196.56, 270.54 and 180.63

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Solution

The fourth proportional to 196.56, 270.54 and 180.63 is: 248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.56 : 270.54 = 180.63 : x
  2. Step 2: Convert to fraction form
    196.56/270.54 = 180.63/x
  3. Step 3: Cross multiply
    196.56x = 270.54 × 180.63
  4. Step 4: Simplify right side
    196.56x = 48,867.64
  5. Step 5: Solve for x
    x = 48,867.64/196.56
  6. Step 6: Final answer
    x = 248.61

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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.