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Finding the Fourth Proportional to 133.00, 197.92 and 128.14

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Solution

The fourth proportional to 133.00, 197.92 and 128.14 is: 190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.00 : 197.92 = 128.14 : x
  2. Step 2: Convert to fraction form
    133.00/197.92 = 128.14/x
  3. Step 3: Cross multiply
    133.00x = 197.92 × 128.14
  4. Step 4: Simplify right side
    133.00x = 25,360.48
  5. Step 5: Solve for x
    x = 25,360.48/133.00
  6. Step 6: Final answer
    x = 190.69

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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.