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Finding the Fourth Proportional to 257.58, 352.89 and 247.86

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Solution

The fourth proportional to 257.58, 352.89 and 247.86 is: 339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.58 : 352.89 = 247.86 : x
  2. Step 2: Convert to fraction form
    257.58/352.89 = 247.86/x
  3. Step 3: Cross multiply
    257.58x = 352.89 × 247.86
  4. Step 4: Simplify right side
    257.58x = 87,467.32
  5. Step 5: Solve for x
    x = 87,467.32/257.58
  6. Step 6: Final answer
    x = 339.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.