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Finding the Fourth Proportional to 253.57, 380.14 and 109.39

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Solution

The fourth proportional to 253.57, 380.14 and 109.39 is: 163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.57 : 380.14 = 109.39 : x
  2. Step 2: Convert to fraction form
    253.57/380.14 = 109.39/x
  3. Step 3: Cross multiply
    253.57x = 380.14 × 109.39
  4. Step 4: Simplify right side
    253.57x = 41,581.61
  5. Step 5: Solve for x
    x = 41,581.61/253.57
  6. Step 6: Final answer
    x = 163.99

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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.