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Finding the Fourth Proportional to 193.56, 291.60 and 163.20

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Solution

The fourth proportional to 193.56, 291.60 and 163.20 is: 245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.56 : 291.60 = 163.20 : x
  2. Step 2: Convert to fraction form
    193.56/291.60 = 163.20/x
  3. Step 3: Cross multiply
    193.56x = 291.60 × 163.20
  4. Step 4: Simplify right side
    193.56x = 47,589.12
  5. Step 5: Solve for x
    x = 47,589.12/193.56
  6. Step 6: Final answer
    x = 245.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.