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Finding the Fourth Proportional to 171.21, 256.41 and 166.35

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Solution

The fourth proportional to 171.21, 256.41 and 166.35 is: 249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.21 : 256.41 = 166.35 : x
  2. Step 2: Convert to fraction form
    171.21/256.41 = 166.35/x
  3. Step 3: Cross multiply
    171.21x = 256.41 × 166.35
  4. Step 4: Simplify right side
    171.21x = 42,653.80
  5. Step 5: Solve for x
    x = 42,653.80/171.21
  6. Step 6: Final answer
    x = 249.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.