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Finding the Fourth Proportional to 171.80, 256 and 164.20

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Solution

The fourth proportional to 171.80, 256 and 164.20 is: 244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.80 : 256 = 164.20 : x
  2. Step 2: Convert to fraction form
    171.80/256 = 164.20/x
  3. Step 3: Cross multiply
    171.80x = 256 × 164.20
  4. Step 4: Simplify right side
    171.80x = 42,035.20
  5. Step 5: Solve for x
    x = 42,035.20/171.80
  6. Step 6: Final answer
    x = 244.68

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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.