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Finding the Fourth Proportional to 167.80, 250.09 and 164.14

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Solution

The fourth proportional to 167.80, 250.09 and 164.14 is: 244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.80 : 250.09 = 164.14 : x
  2. Step 2: Convert to fraction form
    167.80/250.09 = 164.14/x
  3. Step 3: Cross multiply
    167.80x = 250.09 × 164.14
  4. Step 4: Simplify right side
    167.80x = 41,049.77
  5. Step 5: Solve for x
    x = 41,049.77/167.80
  6. Step 6: Final answer
    x = 244.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.