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Finding the Fourth Proportional to 171.88, 235.41 and 167.56

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Solution

The fourth proportional to 171.88, 235.41 and 167.56 is: 229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.88 : 235.41 = 167.56 : x
  2. Step 2: Convert to fraction form
    171.88/235.41 = 167.56/x
  3. Step 3: Cross multiply
    171.88x = 235.41 × 167.56
  4. Step 4: Simplify right side
    171.88x = 39,445.30
  5. Step 5: Solve for x
    x = 39,445.30/171.88
  6. Step 6: Final answer
    x = 229.49

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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.