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Finding the Fourth Proportional to 200.45, 299.21 and 185.80

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Solution

The fourth proportional to 200.45, 299.21 and 185.80 is: 277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.45 : 299.21 = 185.80 : x
  2. Step 2: Convert to fraction form
    200.45/299.21 = 185.80/x
  3. Step 3: Cross multiply
    200.45x = 299.21 × 185.80
  4. Step 4: Simplify right side
    200.45x = 55,593.22
  5. Step 5: Solve for x
    x = 55,593.22/200.45
  6. Step 6: Final answer
    x = 277.35

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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.