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Finding the Fourth Proportional to 263.28, 396.46 and 195.29

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Solution

The fourth proportional to 263.28, 396.46 and 195.29 is: 294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.28 : 396.46 = 195.29 : x
  2. Step 2: Convert to fraction form
    263.28/396.46 = 195.29/x
  3. Step 3: Cross multiply
    263.28x = 396.46 × 195.29
  4. Step 4: Simplify right side
    263.28x = 77,424.67
  5. Step 5: Solve for x
    x = 77,424.67/263.28
  6. Step 6: Final answer
    x = 294.08

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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.