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Finding the Fourth Proportional to 167.40, 229.61 and 166.60

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Solution

The fourth proportional to 167.40, 229.61 and 166.60 is: 228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.40 : 229.61 = 166.60 : x
  2. Step 2: Convert to fraction form
    167.40/229.61 = 166.60/x
  3. Step 3: Cross multiply
    167.40x = 229.61 × 166.60
  4. Step 4: Simplify right side
    167.40x = 38,253.03
  5. Step 5: Solve for x
    x = 38,253.03/167.40
  6. Step 6: Final answer
    x = 228.51

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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.