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Finding the Fourth Proportional to 303.71, 419.17 and 193.24

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Solution

The fourth proportional to 303.71, 419.17 and 193.24 is: 266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.71 : 419.17 = 193.24 : x
  2. Step 2: Convert to fraction form
    303.71/419.17 = 193.24/x
  3. Step 3: Cross multiply
    303.71x = 419.17 × 193.24
  4. Step 4: Simplify right side
    303.71x = 80,998.31
  5. Step 5: Solve for x
    x = 80,998.31/303.71
  6. Step 6: Final answer
    x = 266.70

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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.