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Finding the Fourth Proportional to 380.09, 524.22 and 255.67

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Solution

The fourth proportional to 380.09, 524.22 and 255.67 is: 352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.09 : 524.22 = 255.67 : x
  2. Step 2: Convert to fraction form
    380.09/524.22 = 255.67/x
  3. Step 3: Cross multiply
    380.09x = 524.22 × 255.67
  4. Step 4: Simplify right side
    380.09x = 134,024.71
  5. Step 5: Solve for x
    x = 134,024.71/380.09
  6. Step 6: Final answer
    x = 352.61

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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.