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Finding the Fourth Proportional to 258.18, 355.80 and 205.56

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Solution

The fourth proportional to 258.18, 355.80 and 205.56 is: 283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.18 : 355.80 = 205.56 : x
  2. Step 2: Convert to fraction form
    258.18/355.80 = 205.56/x
  3. Step 3: Cross multiply
    258.18x = 355.80 × 205.56
  4. Step 4: Simplify right side
    258.18x = 73,138.25
  5. Step 5: Solve for x
    x = 73,138.25/258.18
  6. Step 6: Final answer
    x = 283.28

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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.