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Finding the Fourth Proportional to 230.67, 318.29 and 142.20

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Solution

The fourth proportional to 230.67, 318.29 and 142.20 is: 196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.67 : 318.29 = 142.20 : x
  2. Step 2: Convert to fraction form
    230.67/318.29 = 142.20/x
  3. Step 3: Cross multiply
    230.67x = 318.29 × 142.20
  4. Step 4: Simplify right side
    230.67x = 45,260.13
  5. Step 5: Solve for x
    x = 45,260.13/230.67
  6. Step 6: Final answer
    x = 196.21

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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.