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Finding the Fourth Proportional to 263.68, 394.96 and 195.68

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Solution

The fourth proportional to 263.68, 394.96 and 195.68 is: 293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.68 : 394.96 = 195.68 : x
  2. Step 2: Convert to fraction form
    263.68/394.96 = 195.68/x
  3. Step 3: Cross multiply
    263.68x = 394.96 × 195.68
  4. Step 4: Simplify right side
    263.68x = 77,285.77
  5. Step 5: Solve for x
    x = 77,285.77/263.68
  6. Step 6: Final answer
    x = 293.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.