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Finding the Fourth Proportional to 263.79, 395.78 and 195.89

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Solution

The fourth proportional to 263.79, 395.78 and 195.89 is: 293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.79 : 395.78 = 195.89 : x
  2. Step 2: Convert to fraction form
    263.79/395.78 = 195.89/x
  3. Step 3: Cross multiply
    263.79x = 395.78 × 195.89
  4. Step 4: Simplify right side
    263.79x = 77,526.39
  5. Step 5: Solve for x
    x = 77,526.39/263.79
  6. Step 6: Final answer
    x = 293.89

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