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Finding the Fourth Proportional to 273.36, 407.64 and 271.05

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Solution

The fourth proportional to 273.36, 407.64 and 271.05 is: 404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.36 : 407.64 = 271.05 : x
  2. Step 2: Convert to fraction form
    273.36/407.64 = 271.05/x
  3. Step 3: Cross multiply
    273.36x = 407.64 × 271.05
  4. Step 4: Simplify right side
    273.36x = 110,490.82
  5. Step 5: Solve for x
    x = 110,490.82/273.36
  6. Step 6: Final answer
    x = 404.20

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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.