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Finding the Fourth Proportional to 200.84, 299.38 and 192.95

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Solution

The fourth proportional to 200.84, 299.38 and 192.95 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.84 : 299.38 = 192.95 : x
  2. Step 2: Convert to fraction form
    200.84/299.38 = 192.95/x
  3. Step 3: Cross multiply
    200.84x = 299.38 × 192.95
  4. Step 4: Simplify right side
    200.84x = 57,763.39
  5. Step 5: Solve for x
    x = 57,763.39/200.84
  6. Step 6: Final answer
    x = 287.62

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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.