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Finding the Fourth Proportional to 272.26, 405.55 and 271.30

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Solution

The fourth proportional to 272.26, 405.55 and 271.30 is: 404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.26 : 405.55 = 271.30 : x
  2. Step 2: Convert to fraction form
    272.26/405.55 = 271.30/x
  3. Step 3: Cross multiply
    272.26x = 405.55 × 271.30
  4. Step 4: Simplify right side
    272.26x = 110,024.36
  5. Step 5: Solve for x
    x = 110,024.36/272.26
  6. Step 6: Final answer
    x = 404.12

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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.