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Finding the Fourth Proportional to 322.99, 445.72 and 190.21

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Solution

The fourth proportional to 322.99, 445.72 and 190.21 is: 262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.99 : 445.72 = 190.21 : x
  2. Step 2: Convert to fraction form
    322.99/445.72 = 190.21/x
  3. Step 3: Cross multiply
    322.99x = 445.72 × 190.21
  4. Step 4: Simplify right side
    322.99x = 84,780.40
  5. Step 5: Solve for x
    x = 84,780.40/322.99
  6. Step 6: Final answer
    x = 262.49

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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.