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Finding the Fourth Proportional to 171.54, 235.17 and 166.95

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Solution

The fourth proportional to 171.54, 235.17 and 166.95 is: 228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.54 : 235.17 = 166.95 : x
  2. Step 2: Convert to fraction form
    171.54/235.17 = 166.95/x
  3. Step 3: Cross multiply
    171.54x = 235.17 × 166.95
  4. Step 4: Simplify right side
    171.54x = 39,261.63
  5. Step 5: Solve for x
    x = 39,261.63/171.54
  6. Step 6: Final answer
    x = 228.88

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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.