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Finding the Fourth Proportional to 257.58, 387.79 and 200.12

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Solution

The fourth proportional to 257.58, 387.79 and 200.12 is: 301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.58 : 387.79 = 200.12 : x
  2. Step 2: Convert to fraction form
    257.58/387.79 = 200.12/x
  3. Step 3: Cross multiply
    257.58x = 387.79 × 200.12
  4. Step 4: Simplify right side
    257.58x = 77,604.28
  5. Step 5: Solve for x
    x = 77,604.28/257.58
  6. Step 6: Final answer
    x = 301.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.