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Finding the Fourth Proportional to 167.47, 229.79 and 162.88

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Solution

The fourth proportional to 167.47, 229.79 and 162.88 is: 223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.47 : 229.79 = 162.88 : x
  2. Step 2: Convert to fraction form
    167.47/229.79 = 162.88/x
  3. Step 3: Cross multiply
    167.47x = 229.79 × 162.88
  4. Step 4: Simplify right side
    167.47x = 37,427.11
  5. Step 5: Solve for x
    x = 37,427.11/167.47
  6. Step 6: Final answer
    x = 223.49

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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.