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Finding the Fourth Proportional to 255.80, 382.94 and 164.22

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Solution

The fourth proportional to 255.80, 382.94 and 164.22 is: 245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.80 : 382.94 = 164.22 : x
  2. Step 2: Convert to fraction form
    255.80/382.94 = 164.22/x
  3. Step 3: Cross multiply
    255.80x = 382.94 × 164.22
  4. Step 4: Simplify right side
    255.80x = 62,886.41
  5. Step 5: Solve for x
    x = 62,886.41/255.80
  6. Step 6: Final answer
    x = 245.84

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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.