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Finding the Fourth Proportional to 349.80, 482.38 and 225.44

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Solution

The fourth proportional to 349.80, 482.38 and 225.44 is: 310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.80 : 482.38 = 225.44 : x
  2. Step 2: Convert to fraction form
    349.80/482.38 = 225.44/x
  3. Step 3: Cross multiply
    349.80x = 482.38 × 225.44
  4. Step 4: Simplify right side
    349.80x = 108,747.75
  5. Step 5: Solve for x
    x = 108,747.75/349.80
  6. Step 6: Final answer
    x = 310.89

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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.