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Finding the Fourth Proportional to 230.82, 318.43 and 142.26

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Solution

The fourth proportional to 230.82, 318.43 and 142.26 is: 196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.82 : 318.43 = 142.26 : x
  2. Step 2: Convert to fraction form
    230.82/318.43 = 142.26/x
  3. Step 3: Cross multiply
    230.82x = 318.43 × 142.26
  4. Step 4: Simplify right side
    230.82x = 45,298.84
  5. Step 5: Solve for x
    x = 45,298.84/230.82
  6. Step 6: Final answer
    x = 196.25

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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.