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Finding the Fourth Proportional to 189.65, 262.78 and 185.55

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Solution

The fourth proportional to 189.65, 262.78 and 185.55 is: 257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.65 : 262.78 = 185.55 : x
  2. Step 2: Convert to fraction form
    189.65/262.78 = 185.55/x
  3. Step 3: Cross multiply
    189.65x = 262.78 × 185.55
  4. Step 4: Simplify right side
    189.65x = 48,757.90
  5. Step 5: Solve for x
    x = 48,757.90/189.65
  6. Step 6: Final answer
    x = 257.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.