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Finding the Fourth Proportional to 136.82, 203.62 and 128.22

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Solution

The fourth proportional to 136.82, 203.62 and 128.22 is: 190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.82 : 203.62 = 128.22 : x
  2. Step 2: Convert to fraction form
    136.82/203.62 = 128.22/x
  3. Step 3: Cross multiply
    136.82x = 203.62 × 128.22
  4. Step 4: Simplify right side
    136.82x = 26,108.16
  5. Step 5: Solve for x
    x = 26,108.16/136.82
  6. Step 6: Final answer
    x = 190.82

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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.