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Finding the Fourth Proportional to 303.76, 416.41 and 298.24

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Solution

The fourth proportional to 303.76, 416.41 and 298.24 is: 408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.76 : 416.41 = 298.24 : x
  2. Step 2: Convert to fraction form
    303.76/416.41 = 298.24/x
  3. Step 3: Cross multiply
    303.76x = 416.41 × 298.24
  4. Step 4: Simplify right side
    303.76x = 124,190.12
  5. Step 5: Solve for x
    x = 124,190.12/303.76
  6. Step 6: Final answer
    x = 408.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.