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Finding the Fourth Proportional to 230.67, 318.22 and 137.36

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Solution

The fourth proportional to 230.67, 318.22 and 137.36 is: 189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.67 : 318.22 = 137.36 : x
  2. Step 2: Convert to fraction form
    230.67/318.22 = 137.36/x
  3. Step 3: Cross multiply
    230.67x = 318.22 × 137.36
  4. Step 4: Simplify right side
    230.67x = 43,708.76
  5. Step 5: Solve for x
    x = 43,708.76/230.67
  6. Step 6: Final answer
    x = 189.48

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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.