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Finding the Fourth Proportional to 258.85, 357.07 and 185.21

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Solution

The fourth proportional to 258.85, 357.07 and 185.21 is: 255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.85 : 357.07 = 185.21 : x
  2. Step 2: Convert to fraction form
    258.85/357.07 = 185.21/x
  3. Step 3: Cross multiply
    258.85x = 357.07 × 185.21
  4. Step 4: Simplify right side
    258.85x = 66,130.22
  5. Step 5: Solve for x
    x = 66,130.22/258.85
  6. Step 6: Final answer
    x = 255.48

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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.