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Finding the Fourth Proportional to 255.63, 382.98 and 164.34

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Solution

The fourth proportional to 255.63, 382.98 and 164.34 is: 246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.63 : 382.98 = 164.34 : x
  2. Step 2: Convert to fraction form
    255.63/382.98 = 164.34/x
  3. Step 3: Cross multiply
    255.63x = 382.98 × 164.34
  4. Step 4: Simplify right side
    255.63x = 62,938.93
  5. Step 5: Solve for x
    x = 62,938.93/255.63
  6. Step 6: Final answer
    x = 246.21

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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.