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Finding the Fourth Proportional to 230.97, 318.81 and 142.48

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Solution

The fourth proportional to 230.97, 318.81 and 142.48 is: 196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.97 : 318.81 = 142.48 : x
  2. Step 2: Convert to fraction form
    230.97/318.81 = 142.48/x
  3. Step 3: Cross multiply
    230.97x = 318.81 × 142.48
  4. Step 4: Simplify right side
    230.97x = 45,424.05
  5. Step 5: Solve for x
    x = 45,424.05/230.97
  6. Step 6: Final answer
    x = 196.67

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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.