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Finding the Fourth Proportional to 198.98, 296.42 and 192.93

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Solution

The fourth proportional to 198.98, 296.42 and 192.93 is: 287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.98 : 296.42 = 192.93 : x
  2. Step 2: Convert to fraction form
    198.98/296.42 = 192.93/x
  3. Step 3: Cross multiply
    198.98x = 296.42 × 192.93
  4. Step 4: Simplify right side
    198.98x = 57,189.25
  5. Step 5: Solve for x
    x = 57,189.25/198.98
  6. Step 6: Final answer
    x = 287.41

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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.