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Finding the Fourth Proportional to 253.09, 378.81 and 137.26

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Solution

The fourth proportional to 253.09, 378.81 and 137.26 is: 205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.09 : 378.81 = 137.26 : x
  2. Step 2: Convert to fraction form
    253.09/378.81 = 137.26/x
  3. Step 3: Cross multiply
    253.09x = 378.81 × 137.26
  4. Step 4: Simplify right side
    253.09x = 51,995.93
  5. Step 5: Solve for x
    x = 51,995.93/253.09
  6. Step 6: Final answer
    x = 205.44

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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.