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Finding the Fourth Proportional to 256.73, 352.92 and 221.15

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Solution

The fourth proportional to 256.73, 352.92 and 221.15 is: 304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.73 : 352.92 = 221.15 : x
  2. Step 2: Convert to fraction form
    256.73/352.92 = 221.15/x
  3. Step 3: Cross multiply
    256.73x = 352.92 × 221.15
  4. Step 4: Simplify right side
    256.73x = 78,048.26
  5. Step 5: Solve for x
    x = 78,048.26/256.73
  6. Step 6: Final answer
    x = 304.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.