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Finding the Fourth Proportional to 257.98, 387.45 and 225.58

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Solution

The fourth proportional to 257.98, 387.45 and 225.58 is: 338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.98 : 387.45 = 225.58 : x
  2. Step 2: Convert to fraction form
    257.98/387.45 = 225.58/x
  3. Step 3: Cross multiply
    257.98x = 387.45 × 225.58
  4. Step 4: Simplify right side
    257.98x = 87,400.97
  5. Step 5: Solve for x
    x = 87,400.97/257.98
  6. Step 6: Final answer
    x = 338.79

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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.