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Finding the Fourth Proportional to 166.59, 230.18 and 140.31

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Solution

The fourth proportional to 166.59, 230.18 and 140.31 is: 193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.59 : 230.18 = 140.31 : x
  2. Step 2: Convert to fraction form
    166.59/230.18 = 140.31/x
  3. Step 3: Cross multiply
    166.59x = 230.18 × 140.31
  4. Step 4: Simplify right side
    166.59x = 32,295.85
  5. Step 5: Solve for x
    x = 32,295.85/166.59
  6. Step 6: Final answer
    x = 193.86

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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.