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Finding the Fourth Proportional to 303.33, 419.11 and 295.55

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Solution

The fourth proportional to 303.33, 419.11 and 295.55 is: 408.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.33 : 419.11 = 295.55 : x
  2. Step 2: Convert to fraction form
    303.33/419.11 = 295.55/x
  3. Step 3: Cross multiply
    303.33x = 419.11 × 295.55
  4. Step 4: Simplify right side
    303.33x = 123,867.96
  5. Step 5: Solve for x
    x = 123,867.96/303.33
  6. Step 6: Final answer
    x = 408.36

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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.