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Finding the Fourth Proportional to 258.89, 357.09 and 247.82

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Solution

The fourth proportional to 258.89, 357.09 and 247.82 is: 341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.89 : 357.09 = 247.82 : x
  2. Step 2: Convert to fraction form
    258.89/357.09 = 247.82/x
  3. Step 3: Cross multiply
    258.89x = 357.09 × 247.82
  4. Step 4: Simplify right side
    258.89x = 88,494.04
  5. Step 5: Solve for x
    x = 88,494.04/258.89
  6. Step 6: Final answer
    x = 341.82

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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.