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Finding the Fourth Proportional to 272.62, 376.12 and 189.62

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Solution

The fourth proportional to 272.62, 376.12 and 189.62 is: 261.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.62 : 376.12 = 189.62 : x
  2. Step 2: Convert to fraction form
    272.62/376.12 = 189.62/x
  3. Step 3: Cross multiply
    272.62x = 376.12 × 189.62
  4. Step 4: Simplify right side
    272.62x = 71,319.87
  5. Step 5: Solve for x
    x = 71,319.87/272.62
  6. Step 6: Final answer
    x = 261.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.