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Finding the Fourth Proportional to 189.14, 281.96 and 186.18

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Solution

The fourth proportional to 189.14, 281.96 and 186.18 is: 277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.14 : 281.96 = 186.18 : x
  2. Step 2: Convert to fraction form
    189.14/281.96 = 186.18/x
  3. Step 3: Cross multiply
    189.14x = 281.96 × 186.18
  4. Step 4: Simplify right side
    189.14x = 52,494.38
  5. Step 5: Solve for x
    x = 52,494.38/189.14
  6. Step 6: Final answer
    x = 277.55

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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.