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Finding the Fourth Proportional to 198.35, 295.97 and 177.85

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Solution

The fourth proportional to 198.35, 295.97 and 177.85 is: 265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.35 : 295.97 = 177.85 : x
  2. Step 2: Convert to fraction form
    198.35/295.97 = 177.85/x
  3. Step 3: Cross multiply
    198.35x = 295.97 × 177.85
  4. Step 4: Simplify right side
    198.35x = 52,638.26
  5. Step 5: Solve for x
    x = 52,638.26/198.35
  6. Step 6: Final answer
    x = 265.38

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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.