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Finding the Fourth Proportional to 167.80, 230.09 and 162.01

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Solution

The fourth proportional to 167.80, 230.09 and 162.01 is: 222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.80 : 230.09 = 162.01 : x
  2. Step 2: Convert to fraction form
    167.80/230.09 = 162.01/x
  3. Step 3: Cross multiply
    167.80x = 230.09 × 162.01
  4. Step 4: Simplify right side
    167.80x = 37,276.88
  5. Step 5: Solve for x
    x = 37,276.88/167.80
  6. Step 6: Final answer
    x = 222.15

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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.