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Finding the Fourth Proportional to 303.74, 419.14 and 193.17

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Solution

The fourth proportional to 303.74, 419.14 and 193.17 is: 266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.74 : 419.14 = 193.17 : x
  2. Step 2: Convert to fraction form
    303.74/419.14 = 193.17/x
  3. Step 3: Cross multiply
    303.74x = 419.14 × 193.17
  4. Step 4: Simplify right side
    303.74x = 80,965.27
  5. Step 5: Solve for x
    x = 80,965.27/303.74
  6. Step 6: Final answer
    x = 266.56

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