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Finding the Fourth Proportional to 255.41, 383.73 and 164.29

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Solution

The fourth proportional to 255.41, 383.73 and 164.29 is: 246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.41 : 383.73 = 164.29 : x
  2. Step 2: Convert to fraction form
    255.41/383.73 = 164.29/x
  3. Step 3: Cross multiply
    255.41x = 383.73 × 164.29
  4. Step 4: Simplify right side
    255.41x = 63,043.00
  5. Step 5: Solve for x
    x = 63,043.00/255.41
  6. Step 6: Final answer
    x = 246.83

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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.