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Finding the Fourth Proportional to 171.64, 255.80 and 164.86

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Solution

The fourth proportional to 171.64, 255.80 and 164.86 is: 245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.64 : 255.80 = 164.86 : x
  2. Step 2: Convert to fraction form
    171.64/255.80 = 164.86/x
  3. Step 3: Cross multiply
    171.64x = 255.80 × 164.86
  4. Step 4: Simplify right side
    171.64x = 42,171.19
  5. Step 5: Solve for x
    x = 42,171.19/171.64
  6. Step 6: Final answer
    x = 245.70

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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.