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Finding the Fourth Proportional to 198.23, 295.02 and 197.63

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Solution

The fourth proportional to 198.23, 295.02 and 197.63 is: 294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.23 : 295.02 = 197.63 : x
  2. Step 2: Convert to fraction form
    198.23/295.02 = 197.63/x
  3. Step 3: Cross multiply
    198.23x = 295.02 × 197.63
  4. Step 4: Simplify right side
    198.23x = 58,302.34
  5. Step 5: Solve for x
    x = 58,302.34/198.23
  6. Step 6: Final answer
    x = 294.11

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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.