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Finding the Fourth Proportional to 272.62, 375.78 and 189.82

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Solution

The fourth proportional to 272.62, 375.78 and 189.82 is: 261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.62 : 375.78 = 189.82 : x
  2. Step 2: Convert to fraction form
    272.62/375.78 = 189.82/x
  3. Step 3: Cross multiply
    272.62x = 375.78 × 189.82
  4. Step 4: Simplify right side
    272.62x = 71,330.56
  5. Step 5: Solve for x
    x = 71,330.56/272.62
  6. Step 6: Final answer
    x = 261.65

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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.