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Finding the Fourth Proportional to 303.91, 419.31 and 193.34

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Solution

The fourth proportional to 303.91, 419.31 and 193.34 is: 266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.91 : 419.31 = 193.34 : x
  2. Step 2: Convert to fraction form
    303.91/419.31 = 193.34/x
  3. Step 3: Cross multiply
    303.91x = 419.31 × 193.34
  4. Step 4: Simplify right side
    303.91x = 81,070.44
  5. Step 5: Solve for x
    x = 81,070.44/303.91
  6. Step 6: Final answer
    x = 266.76

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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.