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Finding the Fourth Proportional to 133.94, 202.06 and 133.68

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Solution

The fourth proportional to 133.94, 202.06 and 133.68 is: 201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.94 : 202.06 = 133.68 : x
  2. Step 2: Convert to fraction form
    133.94/202.06 = 133.68/x
  3. Step 3: Cross multiply
    133.94x = 202.06 × 133.68
  4. Step 4: Simplify right side
    133.94x = 27,011.38
  5. Step 5: Solve for x
    x = 27,011.38/133.94
  6. Step 6: Final answer
    x = 201.67

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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.