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Finding the Fourth Proportional to 199.19, 296.82 and 192.66

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Solution

The fourth proportional to 199.19, 296.82 and 192.66 is: 287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.19 : 296.82 = 192.66 : x
  2. Step 2: Convert to fraction form
    199.19/296.82 = 192.66/x
  3. Step 3: Cross multiply
    199.19x = 296.82 × 192.66
  4. Step 4: Simplify right side
    199.19x = 57,185.70
  5. Step 5: Solve for x
    x = 57,185.70/199.19
  6. Step 6: Final answer
    x = 287.10

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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.