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Finding the Fourth Proportional to 167.31, 230.89 and 98.31

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Solution

The fourth proportional to 167.31, 230.89 and 98.31 is: 135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.31 : 230.89 = 98.31 : x
  2. Step 2: Convert to fraction form
    167.31/230.89 = 98.31/x
  3. Step 3: Cross multiply
    167.31x = 230.89 × 98.31
  4. Step 4: Simplify right side
    167.31x = 22,698.80
  5. Step 5: Solve for x
    x = 22,698.80/167.31
  6. Step 6: Final answer
    x = 135.67

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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.