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Finding the Fourth Proportional to 365.28, 504.12 and 249.12

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Solution

The fourth proportional to 365.28, 504.12 and 249.12 is: 343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.28 : 504.12 = 249.12 : x
  2. Step 2: Convert to fraction form
    365.28/504.12 = 249.12/x
  3. Step 3: Cross multiply
    365.28x = 504.12 × 249.12
  4. Step 4: Simplify right side
    365.28x = 125,586.37
  5. Step 5: Solve for x
    x = 125,586.37/365.28
  6. Step 6: Final answer
    x = 343.81

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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.