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Finding the Fourth Proportional to 167.80, 229.58 and 166.18

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Solution

The fourth proportional to 167.80, 229.58 and 166.18 is: 227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.80 : 229.58 = 166.18 : x
  2. Step 2: Convert to fraction form
    167.80/229.58 = 166.18/x
  3. Step 3: Cross multiply
    167.80x = 229.58 × 166.18
  4. Step 4: Simplify right side
    167.80x = 38,151.60
  5. Step 5: Solve for x
    x = 38,151.60/167.80
  6. Step 6: Final answer
    x = 227.36

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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.