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Finding the Fourth Proportional to 163.44, 245.20 and 81.10

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Solution

The fourth proportional to 163.44, 245.20 and 81.10 is: 121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.44 : 245.20 = 81.10 : x
  2. Step 2: Convert to fraction form
    163.44/245.20 = 81.10/x
  3. Step 3: Cross multiply
    163.44x = 245.20 × 81.10
  4. Step 4: Simplify right side
    163.44x = 19,885.72
  5. Step 5: Solve for x
    x = 19,885.72/163.44
  6. Step 6: Final answer
    x = 121.67

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Why These Related Problems?

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