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Finding the Fourth Proportional to 135.40, 185.73 and 133.80

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Solution

The fourth proportional to 135.40, 185.73 and 133.80 is: 183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.40 : 185.73 = 133.80 : x
  2. Step 2: Convert to fraction form
    135.40/185.73 = 133.80/x
  3. Step 3: Cross multiply
    135.40x = 185.73 × 133.80
  4. Step 4: Simplify right side
    135.40x = 24,850.67
  5. Step 5: Solve for x
    x = 24,850.67/135.40
  6. Step 6: Final answer
    x = 183.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.