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Finding the Fourth Proportional to 189.82, 282.73 and 185.82

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Solution

The fourth proportional to 189.82, 282.73 and 185.82 is: 276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.82 : 282.73 = 185.82 : x
  2. Step 2: Convert to fraction form
    189.82/282.73 = 185.82/x
  3. Step 3: Cross multiply
    189.82x = 282.73 × 185.82
  4. Step 4: Simplify right side
    189.82x = 52,536.89
  5. Step 5: Solve for x
    x = 52,536.89/189.82
  6. Step 6: Final answer
    x = 276.77

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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.