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Finding the Fourth Proportional to 231.96, 320.33 and 198.57

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Solution

The fourth proportional to 231.96, 320.33 and 198.57 is: 274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.96 : 320.33 = 198.57 : x
  2. Step 2: Convert to fraction form
    231.96/320.33 = 198.57/x
  3. Step 3: Cross multiply
    231.96x = 320.33 × 198.57
  4. Step 4: Simplify right side
    231.96x = 63,606.94
  5. Step 5: Solve for x
    x = 63,606.94/231.96
  6. Step 6: Final answer
    x = 274.22

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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.