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Finding the Fourth Proportional to 273.61, 408.51 and 271.69

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Solution

The fourth proportional to 273.61, 408.51 and 271.69 is: 405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.61 : 408.51 = 271.69 : x
  2. Step 2: Convert to fraction form
    273.61/408.51 = 271.69/x
  3. Step 3: Cross multiply
    273.61x = 408.51 × 271.69
  4. Step 4: Simplify right side
    273.61x = 110,986.72
  5. Step 5: Solve for x
    x = 110,986.72/273.61
  6. Step 6: Final answer
    x = 405.64

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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.