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Finding the Fourth Proportional to 272.78, 405.89 and 271.87

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Solution

The fourth proportional to 272.78, 405.89 and 271.87 is: 404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.78 : 405.89 = 271.87 : x
  2. Step 2: Convert to fraction form
    272.78/405.89 = 271.87/x
  3. Step 3: Cross multiply
    272.78x = 405.89 × 271.87
  4. Step 4: Simplify right side
    272.78x = 110,349.31
  5. Step 5: Solve for x
    x = 110,349.31/272.78
  6. Step 6: Final answer
    x = 404.54

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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.