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Finding the Fourth Proportional to 303.78, 419.97 and 290.85

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Solution

The fourth proportional to 303.78, 419.97 and 290.85 is: 402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.78 : 419.97 = 290.85 : x
  2. Step 2: Convert to fraction form
    303.78/419.97 = 290.85/x
  3. Step 3: Cross multiply
    303.78x = 419.97 × 290.85
  4. Step 4: Simplify right side
    303.78x = 122,148.27
  5. Step 5: Solve for x
    x = 122,148.27/303.78
  6. Step 6: Final answer
    x = 402.09

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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.