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Finding the Fourth Proportional to 231, 318.82 and 143.66

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Solution

The fourth proportional to 231, 318.82 and 143.66 is: 198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231 : 318.82 = 143.66 : x
  2. Step 2: Convert to fraction form
    231/318.82 = 143.66/x
  3. Step 3: Cross multiply
    231x = 318.82 × 143.66
  4. Step 4: Simplify right side
    231x = 45,801.68
  5. Step 5: Solve for x
    x = 45,801.68/231
  6. Step 6: Final answer
    x = 198.28

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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.