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Finding the Fourth Proportional to 171.71, 235.32 and 166.49

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Solution

The fourth proportional to 171.71, 235.32 and 166.49 is: 228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.71 : 235.32 = 166.49 : x
  2. Step 2: Convert to fraction form
    171.71/235.32 = 166.49/x
  3. Step 3: Cross multiply
    171.71x = 235.32 × 166.49
  4. Step 4: Simplify right side
    171.71x = 39,177.25
  5. Step 5: Solve for x
    x = 39,177.25/171.71
  6. Step 6: Final answer
    x = 228.17

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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.