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Finding the Fourth Proportional to 227.34, 313.59 and 198.30

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Solution

The fourth proportional to 227.34, 313.59 and 198.30 is: 273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.34 : 313.59 = 198.30 : x
  2. Step 2: Convert to fraction form
    227.34/313.59 = 198.30/x
  3. Step 3: Cross multiply
    227.34x = 313.59 × 198.30
  4. Step 4: Simplify right side
    227.34x = 62,184.90
  5. Step 5: Solve for x
    x = 62,184.90/227.34
  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.