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Finding the Fourth Proportional to 258.80, 355.46 and 242.73

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Solution

The fourth proportional to 258.80, 355.46 and 242.73 is: 333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.80 : 355.46 = 242.73 : x
  2. Step 2: Convert to fraction form
    258.80/355.46 = 242.73/x
  3. Step 3: Cross multiply
    258.80x = 355.46 × 242.73
  4. Step 4: Simplify right side
    258.80x = 86,279.59
  5. Step 5: Solve for x
    x = 86,279.59/258.80
  6. Step 6: Final answer
    x = 333.39

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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.