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Finding the Fourth Proportional to 252.96, 380.79 and 195.49

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Solution

The fourth proportional to 252.96, 380.79 and 195.49 is: 294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.96 : 380.79 = 195.49 : x
  2. Step 2: Convert to fraction form
    252.96/380.79 = 195.49/x
  3. Step 3: Cross multiply
    252.96x = 380.79 × 195.49
  4. Step 4: Simplify right side
    252.96x = 74,440.64
  5. Step 5: Solve for x
    x = 74,440.64/252.96
  6. Step 6: Final answer
    x = 294.28

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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.