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Finding the Fourth Proportional to 419.29, 628.42 and 367.69

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Solution

The fourth proportional to 419.29, 628.42 and 367.69 is: 551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.29 : 628.42 = 367.69 : x
  2. Step 2: Convert to fraction form
    419.29/628.42 = 367.69/x
  3. Step 3: Cross multiply
    419.29x = 628.42 × 367.69
  4. Step 4: Simplify right side
    419.29x = 231,063.64
  5. Step 5: Solve for x
    x = 231,063.64/419.29
  6. Step 6: Final answer
    x = 551.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.