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Finding the Fourth Proportional to 365.20, 503.36 and 254.44

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Solution

The fourth proportional to 365.20, 503.36 and 254.44 is: 350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.20 : 503.36 = 254.44 : x
  2. Step 2: Convert to fraction form
    365.20/503.36 = 254.44/x
  3. Step 3: Cross multiply
    365.20x = 503.36 × 254.44
  4. Step 4: Simplify right side
    365.20x = 128,074.92
  5. Step 5: Solve for x
    x = 128,074.92/365.20
  6. Step 6: Final answer
    x = 350.70

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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.