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Finding the Fourth Proportional to 171.82, 235.64 and 166.51

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Solution

The fourth proportional to 171.82, 235.64 and 166.51 is: 228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.82 : 235.64 = 166.51 : x
  2. Step 2: Convert to fraction form
    171.82/235.64 = 166.51/x
  3. Step 3: Cross multiply
    171.82x = 235.64 × 166.51
  4. Step 4: Simplify right side
    171.82x = 39,236.42
  5. Step 5: Solve for x
    x = 39,236.42/171.82
  6. Step 6: Final answer
    x = 228.36

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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.