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Finding the Fourth Proportional to 171.64, 255.41 and 164.68

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Solution

The fourth proportional to 171.64, 255.41 and 164.68 is: 245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.64 : 255.41 = 164.68 : x
  2. Step 2: Convert to fraction form
    171.64/255.41 = 164.68/x
  3. Step 3: Cross multiply
    171.64x = 255.41 × 164.68
  4. Step 4: Simplify right side
    171.64x = 42,060.92
  5. Step 5: Solve for x
    x = 42,060.92/171.64
  6. Step 6: Final answer
    x = 245.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.