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Finding the Fourth Proportional to 189.48, 262.57 and 185.83

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Solution

The fourth proportional to 189.48, 262.57 and 185.83 is: 257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.48 : 262.57 = 185.83 : x
  2. Step 2: Convert to fraction form
    189.48/262.57 = 185.83/x
  3. Step 3: Cross multiply
    189.48x = 262.57 × 185.83
  4. Step 4: Simplify right side
    189.48x = 48,793.85
  5. Step 5: Solve for x
    x = 48,793.85/189.48
  6. Step 6: Final answer
    x = 257.52

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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.