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Finding the Fourth Proportional to 198.36, 296.87 and 143.60

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Solution

The fourth proportional to 198.36, 296.87 and 143.60 is: 214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.36 : 296.87 = 143.60 : x
  2. Step 2: Convert to fraction form
    198.36/296.87 = 143.60/x
  3. Step 3: Cross multiply
    198.36x = 296.87 × 143.60
  4. Step 4: Simplify right side
    198.36x = 42,628.33
  5. Step 5: Solve for x
    x = 42,628.33/198.36
  6. Step 6: Final answer
    x = 214.90

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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.