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Finding the Fourth Proportional to 198.69, 298 and 90.45

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Solution

The fourth proportional to 198.69, 298 and 90.45 is: 135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.69 : 298 = 90.45 : x
  2. Step 2: Convert to fraction form
    198.69/298 = 90.45/x
  3. Step 3: Cross multiply
    198.69x = 298 × 90.45
  4. Step 4: Simplify right side
    198.69x = 26,954.85
  5. Step 5: Solve for x
    x = 26,954.85/198.69
  6. Step 6: Final answer
    x = 135.66

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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.