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Finding the Fourth Proportional to 133.12, 198.62 and 130.04

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Solution

The fourth proportional to 133.12, 198.62 and 130.04 is: 194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.12 : 198.62 = 130.04 : x
  2. Step 2: Convert to fraction form
    133.12/198.62 = 130.04/x
  3. Step 3: Cross multiply
    133.12x = 198.62 × 130.04
  4. Step 4: Simplify right side
    133.12x = 25,828.87
  5. Step 5: Solve for x
    x = 25,828.87/133.12
  6. Step 6: Final answer
    x = 194.03

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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.