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Finding the Fourth Proportional to 198.87, 275.76 and 192.66

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Solution

The fourth proportional to 198.87, 275.76 and 192.66 is: 267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.87 : 275.76 = 192.66 : x
  2. Step 2: Convert to fraction form
    198.87/275.76 = 192.66/x
  3. Step 3: Cross multiply
    198.87x = 275.76 × 192.66
  4. Step 4: Simplify right side
    198.87x = 53,127.92
  5. Step 5: Solve for x
    x = 53,127.92/198.87
  6. Step 6: Final answer
    x = 267.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.