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Finding the Fourth Proportional to 185.82, 276.78 and 178.98

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Solution

The fourth proportional to 185.82, 276.78 and 178.98 is: 266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.82 : 276.78 = 178.98 : x
  2. Step 2: Convert to fraction form
    185.82/276.78 = 178.98/x
  3. Step 3: Cross multiply
    185.82x = 276.78 × 178.98
  4. Step 4: Simplify right side
    185.82x = 49,538.08
  5. Step 5: Solve for x
    x = 49,538.08/185.82
  6. Step 6: Final answer
    x = 266.59

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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.