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Finding the Fourth Proportional to 255, 382.17 and 174.36

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Solution

The fourth proportional to 255, 382.17 and 174.36 is: 261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255 : 382.17 = 174.36 : x
  2. Step 2: Convert to fraction form
    255/382.17 = 174.36/x
  3. Step 3: Cross multiply
    255x = 382.17 × 174.36
  4. Step 4: Simplify right side
    255x = 66,635.16
  5. Step 5: Solve for x
    x = 66,635.16/255
  6. Step 6: Final answer
    x = 261.31

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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.