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Finding the Fourth Proportional to 198.85, 297.92 and 90.41

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Solution

The fourth proportional to 198.85, 297.92 and 90.41 is: 135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.85 : 297.92 = 90.41 : x
  2. Step 2: Convert to fraction form
    198.85/297.92 = 90.41/x
  3. Step 3: Cross multiply
    198.85x = 297.92 × 90.41
  4. Step 4: Simplify right side
    198.85x = 26,934.95
  5. Step 5: Solve for x
    x = 26,934.95/198.85
  6. Step 6: Final answer
    x = 135.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.