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Finding the Fourth Proportional to 133.25, 183.89 and 81.50

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Solution

The fourth proportional to 133.25, 183.89 and 81.50 is: 112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.25 : 183.89 = 81.50 : x
  2. Step 2: Convert to fraction form
    133.25/183.89 = 81.50/x
  3. Step 3: Cross multiply
    133.25x = 183.89 × 81.50
  4. Step 4: Simplify right side
    133.25x = 14,986.63
  5. Step 5: Solve for x
    x = 14,986.63/133.25
  6. Step 6: Final answer
    x = 112.47

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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.