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Finding the Fourth Proportional to 253.82, 350.28 and 137.39

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Solution

The fourth proportional to 253.82, 350.28 and 137.39 is: 189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.82 : 350.28 = 137.39 : x
  2. Step 2: Convert to fraction form
    253.82/350.28 = 137.39/x
  3. Step 3: Cross multiply
    253.82x = 350.28 × 137.39
  4. Step 4: Simplify right side
    253.82x = 48,122.87
  5. Step 5: Solve for x
    x = 48,122.87/253.82
  6. Step 6: Final answer
    x = 189.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.