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Finding the Fourth Proportional to 245.92, 367.52 and 200.33

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Solution

The fourth proportional to 245.92, 367.52 and 200.33 is: 299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.92 : 367.52 = 200.33 : x
  2. Step 2: Convert to fraction form
    245.92/367.52 = 200.33/x
  3. Step 3: Cross multiply
    245.92x = 367.52 × 200.33
  4. Step 4: Simplify right side
    245.92x = 73,625.28
  5. Step 5: Solve for x
    x = 73,625.28/245.92
  6. Step 6: Final answer
    x = 299.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.