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Finding the Fourth Proportional to 264.28, 397.97 and 196.29

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Solution

The fourth proportional to 264.28, 397.97 and 196.29 is: 295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.28 : 397.97 = 196.29 : x
  2. Step 2: Convert to fraction form
    264.28/397.97 = 196.29/x
  3. Step 3: Cross multiply
    264.28x = 397.97 × 196.29
  4. Step 4: Simplify right side
    264.28x = 78,117.53
  5. Step 5: Solve for x
    x = 78,117.53/264.28
  6. Step 6: Final answer
    x = 295.59

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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.