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Finding the Fourth Proportional to 167.85, 231.48 and 121.05

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Solution

The fourth proportional to 167.85, 231.48 and 121.05 is: 166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.85 : 231.48 = 121.05 : x
  2. Step 2: Convert to fraction form
    167.85/231.48 = 121.05/x
  3. Step 3: Cross multiply
    167.85x = 231.48 × 121.05
  4. Step 4: Simplify right side
    167.85x = 28,020.65
  5. Step 5: Solve for x
    x = 28,020.65/167.85
  6. Step 6: Final answer
    x = 166.94

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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.