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Finding the Fourth Proportional to 200.84, 299.69 and 180.41

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Solution

The fourth proportional to 200.84, 299.69 and 180.41 is: 269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.84 : 299.69 = 180.41 : x
  2. Step 2: Convert to fraction form
    200.84/299.69 = 180.41/x
  3. Step 3: Cross multiply
    200.84x = 299.69 × 180.41
  4. Step 4: Simplify right side
    200.84x = 54,067.07
  5. Step 5: Solve for x
    x = 54,067.07/200.84
  6. Step 6: Final answer
    x = 269.20

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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.