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Finding the Fourth Proportional to 185.94, 277.61 and 142.37

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Solution

The fourth proportional to 185.94, 277.61 and 142.37 is: 212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.94 : 277.61 = 142.37 : x
  2. Step 2: Convert to fraction form
    185.94/277.61 = 142.37/x
  3. Step 3: Cross multiply
    185.94x = 277.61 × 142.37
  4. Step 4: Simplify right side
    185.94x = 39,524.39
  5. Step 5: Solve for x
    x = 39,524.39/185.94
  6. Step 6: Final answer
    x = 212.56

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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.