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Finding the Fourth Proportional to 245.44, 338 and 224.80

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Solution

The fourth proportional to 245.44, 338 and 224.80 is: 309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.44 : 338 = 224.80 : x
  2. Step 2: Convert to fraction form
    245.44/338 = 224.80/x
  3. Step 3: Cross multiply
    245.44x = 338 × 224.80
  4. Step 4: Simplify right side
    245.44x = 75,982.40
  5. Step 5: Solve for x
    x = 75,982.40/245.44
  6. Step 6: Final answer
    x = 309.58

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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.