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Finding the Fourth Proportional to 198.02, 295.02 and 188.84

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Solution

The fourth proportional to 198.02, 295.02 and 188.84 is: 281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.02 : 295.02 = 188.84 : x
  2. Step 2: Convert to fraction form
    198.02/295.02 = 188.84/x
  3. Step 3: Cross multiply
    198.02x = 295.02 × 188.84
  4. Step 4: Simplify right side
    198.02x = 55,711.58
  5. Step 5: Solve for x
    x = 55,711.58/198.02
  6. Step 6: Final answer
    x = 281.34

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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.