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Finding the Fourth Proportional to 163.42, 245.03 and 105.57

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Solution

The fourth proportional to 163.42, 245.03 and 105.57 is: 158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.42 : 245.03 = 105.57 : x
  2. Step 2: Convert to fraction form
    163.42/245.03 = 105.57/x
  3. Step 3: Cross multiply
    163.42x = 245.03 × 105.57
  4. Step 4: Simplify right side
    163.42x = 25,867.29
  5. Step 5: Solve for x
    x = 25,867.29/163.42
  6. Step 6: Final answer
    x = 158.29

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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.