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Finding the Fourth Proportional to 133.07, 198.07 and 132.38

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Solution

The fourth proportional to 133.07, 198.07 and 132.38 is: 197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.07 : 198.07 = 132.38 : x
  2. Step 2: Convert to fraction form
    133.07/198.07 = 132.38/x
  3. Step 3: Cross multiply
    133.07x = 198.07 × 132.38
  4. Step 4: Simplify right side
    133.07x = 26,220.51
  5. Step 5: Solve for x
    x = 26,220.51/133.07
  6. Step 6: Final answer
    x = 197.04

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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.