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Finding the Fourth Proportional to 484.14, 726.14 and 137.44

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Solution

The fourth proportional to 484.14, 726.14 and 137.44 is: 206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.14 : 726.14 = 137.44 : x
  2. Step 2: Convert to fraction form
    484.14/726.14 = 137.44/x
  3. Step 3: Cross multiply
    484.14x = 726.14 × 137.44
  4. Step 4: Simplify right side
    484.14x = 99,800.68
  5. Step 5: Solve for x
    x = 99,800.68/484.14
  6. Step 6: Final answer
    x = 206.14

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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.