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Finding the Fourth Proportional to 167.96, 233.40 and 166.30

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Solution

The fourth proportional to 167.96, 233.40 and 166.30 is: 231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.96 : 233.40 = 166.30 : x
  2. Step 2: Convert to fraction form
    167.96/233.40 = 166.30/x
  3. Step 3: Cross multiply
    167.96x = 233.40 × 166.30
  4. Step 4: Simplify right side
    167.96x = 38,814.42
  5. Step 5: Solve for x
    x = 38,814.42/167.96
  6. Step 6: Final answer
    x = 231.09

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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.