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Finding the Fourth Proportional to 229.99, 316.44 and 198.80

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Solution

The fourth proportional to 229.99, 316.44 and 198.80 is: 273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.99 : 316.44 = 198.80 : x
  2. Step 2: Convert to fraction form
    229.99/316.44 = 198.80/x
  3. Step 3: Cross multiply
    229.99x = 316.44 × 198.80
  4. Step 4: Simplify right side
    229.99x = 62,907.28
  5. Step 5: Solve for x
    x = 62,907.28/229.99
  6. Step 6: Final answer
    x = 273.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.