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Finding the Fourth Proportional to 273.11, 407.76 and 271.19

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Solution

The fourth proportional to 273.11, 407.76 and 271.19 is: 404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.11 : 407.76 = 271.19 : x
  2. Step 2: Convert to fraction form
    273.11/407.76 = 271.19/x
  3. Step 3: Cross multiply
    273.11x = 407.76 × 271.19
  4. Step 4: Simplify right side
    273.11x = 110,580.43
  5. Step 5: Solve for x
    x = 110,580.43/273.11
  6. Step 6: Final answer
    x = 404.89

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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.