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Finding the Fourth Proportional to 366.36, 504.90 and 255.54

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Solution

The fourth proportional to 366.36, 504.90 and 255.54 is: 352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.36 : 504.90 = 255.54 : x
  2. Step 2: Convert to fraction form
    366.36/504.90 = 255.54/x
  3. Step 3: Cross multiply
    366.36x = 504.90 × 255.54
  4. Step 4: Simplify right side
    366.36x = 129,022.15
  5. Step 5: Solve for x
    x = 129,022.15/366.36
  6. Step 6: Final answer
    x = 352.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.