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Finding the Fourth Proportional to 249.12, 369.28 and 245.25

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Solution

The fourth proportional to 249.12, 369.28 and 245.25 is: 363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.12 : 369.28 = 245.25 : x
  2. Step 2: Convert to fraction form
    249.12/369.28 = 245.25/x
  3. Step 3: Cross multiply
    249.12x = 369.28 × 245.25
  4. Step 4: Simplify right side
    249.12x = 90,564.69
  5. Step 5: Solve for x
    x = 90,564.69/249.12
  6. Step 6: Final answer
    x = 363.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.