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Finding the Fourth Proportional to 163.20, 245.06 and 132.46

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Solution

The fourth proportional to 163.20, 245.06 and 132.46 is: 198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.20 : 245.06 = 132.46 : x
  2. Step 2: Convert to fraction form
    163.20/245.06 = 132.46/x
  3. Step 3: Cross multiply
    163.20x = 245.06 × 132.46
  4. Step 4: Simplify right side
    163.20x = 32,460.65
  5. Step 5: Solve for x
    x = 32,460.65/163.20
  6. Step 6: Final answer
    x = 198.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.