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Finding the Fourth Proportional to 258.75, 357.23 and 203.36

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Solution

The fourth proportional to 258.75, 357.23 and 203.36 is: 280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.75 : 357.23 = 203.36 : x
  2. Step 2: Convert to fraction form
    258.75/357.23 = 203.36/x
  3. Step 3: Cross multiply
    258.75x = 357.23 × 203.36
  4. Step 4: Simplify right side
    258.75x = 72,645.02
  5. Step 5: Solve for x
    x = 72,645.02/258.75
  6. Step 6: Final answer
    x = 280.75

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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.