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Finding the Fourth Proportional to 258.95, 355.89 and 221.82

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Solution

The fourth proportional to 258.95, 355.89 and 221.82 is: 304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.95 : 355.89 = 221.82 : x
  2. Step 2: Convert to fraction form
    258.95/355.89 = 221.82/x
  3. Step 3: Cross multiply
    258.95x = 355.89 × 221.82
  4. Step 4: Simplify right side
    258.95x = 78,943.52
  5. Step 5: Solve for x
    x = 78,943.52/258.95
  6. Step 6: Final answer
    x = 304.87

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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.