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Finding the Fourth Proportional to 255.94, 385.82 and 239.22

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Solution

The fourth proportional to 255.94, 385.82 and 239.22 is: 360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.94 : 385.82 = 239.22 : x
  2. Step 2: Convert to fraction form
    255.94/385.82 = 239.22/x
  3. Step 3: Cross multiply
    255.94x = 385.82 × 239.22
  4. Step 4: Simplify right side
    255.94x = 92,295.86
  5. Step 5: Solve for x
    x = 92,295.86/255.94
  6. Step 6: Final answer
    x = 360.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.