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Finding the Fourth Proportional to 253.41, 379.83 and 137.79

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Solution

The fourth proportional to 253.41, 379.83 and 137.79 is: 206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.41 : 379.83 = 137.79 : x
  2. Step 2: Convert to fraction form
    253.41/379.83 = 137.79/x
  3. Step 3: Cross multiply
    253.41x = 379.83 × 137.79
  4. Step 4: Simplify right side
    253.41x = 52,336.78
  5. Step 5: Solve for x
    x = 52,336.78/253.41
  6. Step 6: Final answer
    x = 206.53

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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.