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Finding the Fourth Proportional to 198.92, 296.33 and 192.87

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Solution

The fourth proportional to 198.92, 296.33 and 192.87 is: 287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.92 : 296.33 = 192.87 : x
  2. Step 2: Convert to fraction form
    198.92/296.33 = 192.87/x
  3. Step 3: Cross multiply
    198.92x = 296.33 × 192.87
  4. Step 4: Simplify right side
    198.92x = 57,152.76
  5. Step 5: Solve for x
    x = 57,152.76/198.92
  6. Step 6: Final answer
    x = 287.32

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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.