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Finding the Fourth Proportional to 136.76, 203.81 and 132.81

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Solution

The fourth proportional to 136.76, 203.81 and 132.81 is: 197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.76 : 203.81 = 132.81 : x
  2. Step 2: Convert to fraction form
    136.76/203.81 = 132.81/x
  3. Step 3: Cross multiply
    136.76x = 203.81 × 132.81
  4. Step 4: Simplify right side
    136.76x = 27,069.23
  5. Step 5: Solve for x
    x = 27,069.23/136.76
  6. Step 6: Final answer
    x = 197.93

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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.