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Finding the Fourth Proportional to 303.77, 418.96 and 226.01

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Solution

The fourth proportional to 303.77, 418.96 and 226.01 is: 311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.77 : 418.96 = 226.01 : x
  2. Step 2: Convert to fraction form
    303.77/418.96 = 226.01/x
  3. Step 3: Cross multiply
    303.77x = 418.96 × 226.01
  4. Step 4: Simplify right side
    303.77x = 94,689.15
  5. Step 5: Solve for x
    x = 94,689.15/303.77
  6. Step 6: Final answer
    x = 311.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.