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Finding the Fourth Proportional to 365.36, 504.20 and 199.57

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Solution

The fourth proportional to 365.36, 504.20 and 199.57 is: 275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.36 : 504.20 = 199.57 : x
  2. Step 2: Convert to fraction form
    365.36/504.20 = 199.57/x
  3. Step 3: Cross multiply
    365.36x = 504.20 × 199.57
  4. Step 4: Simplify right side
    365.36x = 100,623.67
  5. Step 5: Solve for x
    x = 100,623.67/365.36
  6. Step 6: Final answer
    x = 275.41

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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.