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Finding the Fourth Proportional to 171.74, 255.70 and 164.72

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Solution

The fourth proportional to 171.74, 255.70 and 164.72 is: 245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.74 : 255.70 = 164.72 : x
  2. Step 2: Convert to fraction form
    171.74/255.70 = 164.72/x
  3. Step 3: Cross multiply
    171.74x = 255.70 × 164.72
  4. Step 4: Simplify right side
    171.74x = 42,118.90
  5. Step 5: Solve for x
    x = 42,118.90/171.74
  6. Step 6: Final answer
    x = 245.25

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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.