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Finding the Fourth Proportional to 230.50, 318.09 and 137.31

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Solution

The fourth proportional to 230.50, 318.09 and 137.31 is: 189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.50 : 318.09 = 137.31 : x
  2. Step 2: Convert to fraction form
    230.50/318.09 = 137.31/x
  3. Step 3: Cross multiply
    230.50x = 318.09 × 137.31
  4. Step 4: Simplify right side
    230.50x = 43,676.94
  5. Step 5: Solve for x
    x = 43,676.94/230.50
  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.