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Finding the Fourth Proportional to 167.48, 231.20 and 160.64

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Solution

The fourth proportional to 167.48, 231.20 and 160.64 is: 221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.48 : 231.20 = 160.64 : x
  2. Step 2: Convert to fraction form
    167.48/231.20 = 160.64/x
  3. Step 3: Cross multiply
    167.48x = 231.20 × 160.64
  4. Step 4: Simplify right side
    167.48x = 37,139.97
  5. Step 5: Solve for x
    x = 37,139.97/167.48
  6. Step 6: Final answer
    x = 221.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.