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Finding the Fourth Proportional to 230.97, 318.86 and 137.75

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Solution

The fourth proportional to 230.97, 318.86 and 137.75 is: 190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.97 : 318.86 = 137.75 : x
  2. Step 2: Convert to fraction form
    230.97/318.86 = 137.75/x
  3. Step 3: Cross multiply
    230.97x = 318.86 × 137.75
  4. Step 4: Simplify right side
    230.97x = 43,922.97
  5. Step 5: Solve for x
    x = 43,922.97/230.97
  6. Step 6: Final answer
    x = 190.17

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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.