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Finding the Fourth Proportional to 167.12, 229.63 and 135.96

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Solution

The fourth proportional to 167.12, 229.63 and 135.96 is: 186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.12 : 229.63 = 135.96 : x
  2. Step 2: Convert to fraction form
    167.12/229.63 = 135.96/x
  3. Step 3: Cross multiply
    167.12x = 229.63 × 135.96
  4. Step 4: Simplify right side
    167.12x = 31,219.69
  5. Step 5: Solve for x
    x = 31,219.69/167.12
  6. Step 6: Final answer
    x = 186.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.