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Finding the Fourth Proportional to 255.06, 382.53 and 116.21

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Solution

The fourth proportional to 255.06, 382.53 and 116.21 is: 174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.06 : 382.53 = 116.21 : x
  2. Step 2: Convert to fraction form
    255.06/382.53 = 116.21/x
  3. Step 3: Cross multiply
    255.06x = 382.53 × 116.21
  4. Step 4: Simplify right side
    255.06x = 44,451.90
  5. Step 5: Solve for x
    x = 44,451.90/255.06
  6. Step 6: Final answer
    x = 174.28

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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.