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Finding the Fourth Proportional to 133.88, 185.04 and 107.69

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Solution

The fourth proportional to 133.88, 185.04 and 107.69 is: 148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.88 : 185.04 = 107.69 : x
  2. Step 2: Convert to fraction form
    133.88/185.04 = 107.69/x
  3. Step 3: Cross multiply
    133.88x = 185.04 × 107.69
  4. Step 4: Simplify right side
    133.88x = 19,926.03
  5. Step 5: Solve for x
    x = 19,926.03/133.88
  6. Step 6: Final answer
    x = 148.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.