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Finding the Fourth Proportional to 273.76, 408.41 and 232.72

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Solution

The fourth proportional to 273.76, 408.41 and 232.72 is: 347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.76 : 408.41 = 232.72 : x
  2. Step 2: Convert to fraction form
    273.76/408.41 = 232.72/x
  3. Step 3: Cross multiply
    273.76x = 408.41 × 232.72
  4. Step 4: Simplify right side
    273.76x = 95,045.18
  5. Step 5: Solve for x
    x = 95,045.18/273.76
  6. Step 6: Final answer
    x = 347.18

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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.