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Finding the Fourth Proportional to 257.48, 386.19 and 113.19

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Solution

The fourth proportional to 257.48, 386.19 and 113.19 is: 169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.48 : 386.19 = 113.19 : x
  2. Step 2: Convert to fraction form
    257.48/386.19 = 113.19/x
  3. Step 3: Cross multiply
    257.48x = 386.19 × 113.19
  4. Step 4: Simplify right side
    257.48x = 43,712.85
  5. Step 5: Solve for x
    x = 43,712.85/257.48
  6. Step 6: Final answer
    x = 169.78

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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.