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Finding the Fourth Proportional to 258.90, 357.26 and 203.77

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Solution

The fourth proportional to 258.90, 357.26 and 203.77 is: 281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.90 : 357.26 = 203.77 : x
  2. Step 2: Convert to fraction form
    258.90/357.26 = 203.77/x
  3. Step 3: Cross multiply
    258.90x = 357.26 × 203.77
  4. Step 4: Simplify right side
    258.90x = 72,796.57
  5. Step 5: Solve for x
    x = 72,796.57/258.90
  6. Step 6: Final answer
    x = 281.18

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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.