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Finding the Fourth Proportional to 253.98, 380.96 and 80.63

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Solution

The fourth proportional to 253.98, 380.96 and 80.63 is: 120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.98 : 380.96 = 80.63 : x
  2. Step 2: Convert to fraction form
    253.98/380.96 = 80.63/x
  3. Step 3: Cross multiply
    253.98x = 380.96 × 80.63
  4. Step 4: Simplify right side
    253.98x = 30,716.23
  5. Step 5: Solve for x
    x = 30,716.23/253.98
  6. Step 6: Final answer
    x = 120.94

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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.