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Finding the Fourth Proportional to 258.49, 388.24 and 200.83

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Solution

The fourth proportional to 258.49, 388.24 and 200.83 is: 301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.49 : 388.24 = 200.83 : x
  2. Step 2: Convert to fraction form
    258.49/388.24 = 200.83/x
  3. Step 3: Cross multiply
    258.49x = 388.24 × 200.83
  4. Step 4: Simplify right side
    258.49x = 77,967.29
  5. Step 5: Solve for x
    x = 77,967.29/258.49
  6. Step 6: Final answer
    x = 301.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.