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Finding the Fourth Proportional to 166.70, 231.09 and 157.91

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Solution

The fourth proportional to 166.70, 231.09 and 157.91 is: 218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.70 : 231.09 = 157.91 : x
  2. Step 2: Convert to fraction form
    166.70/231.09 = 157.91/x
  3. Step 3: Cross multiply
    166.70x = 231.09 × 157.91
  4. Step 4: Simplify right side
    166.70x = 36,492.00
  5. Step 5: Solve for x
    x = 36,492.00/166.70
  6. Step 6: Final answer
    x = 218.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.