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Finding the Fourth Proportional to 389.82, 581.44 and 367.26

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Solution

The fourth proportional to 389.82, 581.44 and 367.26 is: 547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.82 : 581.44 = 367.26 : x
  2. Step 2: Convert to fraction form
    389.82/581.44 = 367.26/x
  3. Step 3: Cross multiply
    389.82x = 581.44 × 367.26
  4. Step 4: Simplify right side
    389.82x = 213,539.65
  5. Step 5: Solve for x
    x = 213,539.65/389.82
  6. Step 6: Final answer
    x = 547.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.