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Finding the Fourth Proportional to 322.74, 445.77 and 245.46

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Solution

The fourth proportional to 322.74, 445.77 and 245.46 is: 339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.74 : 445.77 = 245.46 : x
  2. Step 2: Convert to fraction form
    322.74/445.77 = 245.46/x
  3. Step 3: Cross multiply
    322.74x = 445.77 × 245.46
  4. Step 4: Simplify right side
    322.74x = 109,418.70
  5. Step 5: Solve for x
    x = 109,418.70/322.74
  6. Step 6: Final answer
    x = 339.03

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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.