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Finding the Fourth Proportional to 273.67, 408.90 and 264.10

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Solution

The fourth proportional to 273.67, 408.90 and 264.10 is: 394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.67 : 408.90 = 264.10 : x
  2. Step 2: Convert to fraction form
    273.67/408.90 = 264.10/x
  3. Step 3: Cross multiply
    273.67x = 408.90 × 264.10
  4. Step 4: Simplify right side
    273.67x = 107,991.99
  5. Step 5: Solve for x
    x = 107,991.99/273.67
  6. Step 6: Final answer
    x = 394.60

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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.