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Finding the Fourth Proportional to 257.79, 386.87 and 113.61

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Solution

The fourth proportional to 257.79, 386.87 and 113.61 is: 170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.79 : 386.87 = 113.61 : x
  2. Step 2: Convert to fraction form
    257.79/386.87 = 113.61/x
  3. Step 3: Cross multiply
    257.79x = 386.87 × 113.61
  4. Step 4: Simplify right side
    257.79x = 43,951.73
  5. Step 5: Solve for x
    x = 43,951.73/257.79
  6. Step 6: Final answer
    x = 170.49

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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.