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Finding the Fourth Proportional to 189.42, 281.94 and 185.17

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Solution

The fourth proportional to 189.42, 281.94 and 185.17 is: 275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.42 : 281.94 = 185.17 : x
  2. Step 2: Convert to fraction form
    189.42/281.94 = 185.17/x
  3. Step 3: Cross multiply
    189.42x = 281.94 × 185.17
  4. Step 4: Simplify right side
    189.42x = 52,205.96
  5. Step 5: Solve for x
    x = 52,205.96/189.42
  6. Step 6: Final answer
    x = 275.61

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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.