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Finding the Fourth Proportional to 198.59, 299.15 and 183.56

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Solution

The fourth proportional to 198.59, 299.15 and 183.56 is: 276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.59 : 299.15 = 183.56 : x
  2. Step 2: Convert to fraction form
    198.59/299.15 = 183.56/x
  3. Step 3: Cross multiply
    198.59x = 299.15 × 183.56
  4. Step 4: Simplify right side
    198.59x = 54,909.56
  5. Step 5: Solve for x
    x = 54,909.56/198.59
  6. Step 6: Final answer
    x = 276.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.