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Finding the Fourth Proportional to 258.90, 355.82 and 251.61

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Solution

The fourth proportional to 258.90, 355.82 and 251.61 is: 345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.90 : 355.82 = 251.61 : x
  2. Step 2: Convert to fraction form
    258.90/355.82 = 251.61/x
  3. Step 3: Cross multiply
    258.90x = 355.82 × 251.61
  4. Step 4: Simplify right side
    258.90x = 89,525.99
  5. Step 5: Solve for x
    x = 89,525.99/258.90
  6. Step 6: Final answer
    x = 345.80

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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.