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Finding the Fourth Proportional to 255.73, 352.47 and 206.59

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Solution

The fourth proportional to 255.73, 352.47 and 206.59 is: 284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.73 : 352.47 = 206.59 : x
  2. Step 2: Convert to fraction form
    255.73/352.47 = 206.59/x
  3. Step 3: Cross multiply
    255.73x = 352.47 × 206.59
  4. Step 4: Simplify right side
    255.73x = 72,816.67
  5. Step 5: Solve for x
    x = 72,816.67/255.73
  6. Step 6: Final answer
    x = 284.74

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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.