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Finding the Fourth Proportional to 133.20, 199.49 and 78.93

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Solution

The fourth proportional to 133.20, 199.49 and 78.93 is: 118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.20 : 199.49 = 78.93 : x
  2. Step 2: Convert to fraction form
    133.20/199.49 = 78.93/x
  3. Step 3: Cross multiply
    133.20x = 199.49 × 78.93
  4. Step 4: Simplify right side
    133.20x = 15,745.35
  5. Step 5: Solve for x
    x = 15,745.35/133.20
  6. Step 6: Final answer
    x = 118.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.