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Finding the Fourth Proportional to 167.55, 231.08 and 157.83

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Solution

The fourth proportional to 167.55, 231.08 and 157.83 is: 217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.55 : 231.08 = 157.83 : x
  2. Step 2: Convert to fraction form
    167.55/231.08 = 157.83/x
  3. Step 3: Cross multiply
    167.55x = 231.08 × 157.83
  4. Step 4: Simplify right side
    167.55x = 36,470.57
  5. Step 5: Solve for x
    x = 36,470.57/167.55
  6. Step 6: Final answer
    x = 217.67

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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.