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Finding the Fourth Proportional to 255.89, 382.29 and 204.66

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Solution

The fourth proportional to 255.89, 382.29 and 204.66 is: 305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.89 : 382.29 = 204.66 : x
  2. Step 2: Convert to fraction form
    255.89/382.29 = 204.66/x
  3. Step 3: Cross multiply
    255.89x = 382.29 × 204.66
  4. Step 4: Simplify right side
    255.89x = 78,238.70
  5. Step 5: Solve for x
    x = 78,238.70/255.89
  6. Step 6: Final answer
    x = 305.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.