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Finding the Fourth Proportional to 484.42, 726.63 and 137.74

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Solution

The fourth proportional to 484.42, 726.63 and 137.74 is: 206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.42 : 726.63 = 137.74 : x
  2. Step 2: Convert to fraction form
    484.42/726.63 = 137.74/x
  3. Step 3: Cross multiply
    484.42x = 726.63 × 137.74
  4. Step 4: Simplify right side
    484.42x = 100,086.02
  5. Step 5: Solve for x
    x = 100,086.02/484.42
  6. Step 6: Final answer
    x = 206.61

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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.