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Finding the Fourth Proportional to 167.10, 231.66 and 164.10

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Solution

The fourth proportional to 167.10, 231.66 and 164.10 is: 227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.10 : 231.66 = 164.10 : x
  2. Step 2: Convert to fraction form
    167.10/231.66 = 164.10/x
  3. Step 3: Cross multiply
    167.10x = 231.66 × 164.10
  4. Step 4: Simplify right side
    167.10x = 38,015.41
  5. Step 5: Solve for x
    x = 38,015.41/167.10
  6. Step 6: Final answer
    x = 227.50

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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.