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Finding the Fourth Proportional to 253.75, 350.18 and 137.31

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Solution

The fourth proportional to 253.75, 350.18 and 137.31 is: 189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.75 : 350.18 = 137.31 : x
  2. Step 2: Convert to fraction form
    253.75/350.18 = 137.31/x
  3. Step 3: Cross multiply
    253.75x = 350.18 × 137.31
  4. Step 4: Simplify right side
    253.75x = 48,083.40
  5. Step 5: Solve for x
    x = 48,083.40/253.75
  6. Step 6: Final answer
    x = 189.49

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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.