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Finding the Fourth Proportional to 255.13, 352.12 and 205.85

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Solution

The fourth proportional to 255.13, 352.12 and 205.85 is: 284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.13 : 352.12 = 205.85 : x
  2. Step 2: Convert to fraction form
    255.13/352.12 = 205.85/x
  3. Step 3: Cross multiply
    255.13x = 352.12 × 205.85
  4. Step 4: Simplify right side
    255.13x = 72,484.27
  5. Step 5: Solve for x
    x = 72,484.27/255.13
  6. Step 6: Final answer
    x = 284.11

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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.