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Finding the Fourth Proportional to 200.50, 300.77 and 92.27

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Solution

The fourth proportional to 200.50, 300.77 and 92.27 is: 138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.50 : 300.77 = 92.27 : x
  2. Step 2: Convert to fraction form
    200.50/300.77 = 92.27/x
  3. Step 3: Cross multiply
    200.50x = 300.77 × 92.27
  4. Step 4: Simplify right side
    200.50x = 27,752.05
  5. Step 5: Solve for x
    x = 27,752.05/200.50
  6. Step 6: Final answer
    x = 138.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.