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Finding the Fourth Proportional to 253.63, 380.47 and 80.27

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Solution

The fourth proportional to 253.63, 380.47 and 80.27 is: 120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.63 : 380.47 = 80.27 : x
  2. Step 2: Convert to fraction form
    253.63/380.47 = 80.27/x
  3. Step 3: Cross multiply
    253.63x = 380.47 × 80.27
  4. Step 4: Simplify right side
    253.63x = 30,538.96
  5. Step 5: Solve for x
    x = 30,538.96/253.63
  6. Step 6: Final answer
    x = 120.41

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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.