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Finding the Fourth Proportional to 171.24, 234.77 and 166.68

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Solution

The fourth proportional to 171.24, 234.77 and 166.68 is: 228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.24 : 234.77 = 166.68 : x
  2. Step 2: Convert to fraction form
    171.24/234.77 = 166.68/x
  3. Step 3: Cross multiply
    171.24x = 234.77 × 166.68
  4. Step 4: Simplify right side
    171.24x = 39,131.46
  5. Step 5: Solve for x
    x = 39,131.46/171.24
  6. Step 6: Final answer
    x = 228.52

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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.