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Finding the Fourth Proportional to 303.86, 419.26 and 193.29

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Solution

The fourth proportional to 303.86, 419.26 and 193.29 is: 266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.86 : 419.26 = 193.29 : x
  2. Step 2: Convert to fraction form
    303.86/419.26 = 193.29/x
  3. Step 3: Cross multiply
    303.86x = 419.26 × 193.29
  4. Step 4: Simplify right side
    303.86x = 81,041.15
  5. Step 5: Solve for x
    x = 81,041.15/303.86
  6. Step 6: Final answer
    x = 266.71

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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.