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Finding the Fourth Proportional to 136.63, 203.90 and 116.38

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Solution

The fourth proportional to 136.63, 203.90 and 116.38 is: 173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.63 : 203.90 = 116.38 : x
  2. Step 2: Convert to fraction form
    136.63/203.90 = 116.38/x
  3. Step 3: Cross multiply
    136.63x = 203.90 × 116.38
  4. Step 4: Simplify right side
    136.63x = 23,729.88
  5. Step 5: Solve for x
    x = 23,729.88/136.63
  6. Step 6: Final answer
    x = 173.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.