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Finding the Fourth Proportional to 163.38, 245.99 and 136.20

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Solution

The fourth proportional to 163.38, 245.99 and 136.20 is: 205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.38 : 245.99 = 136.20 : x
  2. Step 2: Convert to fraction form
    163.38/245.99 = 136.20/x
  3. Step 3: Cross multiply
    163.38x = 245.99 × 136.20
  4. Step 4: Simplify right side
    163.38x = 33,503.16
  5. Step 5: Solve for x
    x = 33,503.16/163.38
  6. Step 6: Final answer
    x = 205.06

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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.