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Finding the Fourth Proportional to 189.26, 281.72 and 186.66

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Solution

The fourth proportional to 189.26, 281.72 and 186.66 is: 277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.26 : 281.72 = 186.66 : x
  2. Step 2: Convert to fraction form
    189.26/281.72 = 186.66/x
  3. Step 3: Cross multiply
    189.26x = 281.72 × 186.66
  4. Step 4: Simplify right side
    189.26x = 52,585.86
  5. Step 5: Solve for x
    x = 52,585.86/189.26
  6. Step 6: Final answer
    x = 277.85

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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.