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Finding the Fourth Proportional to 257.96, 387.09 and 120.96

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Solution

The fourth proportional to 257.96, 387.09 and 120.96 is: 181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.96 : 387.09 = 120.96 : x
  2. Step 2: Convert to fraction form
    257.96/387.09 = 120.96/x
  3. Step 3: Cross multiply
    257.96x = 387.09 × 120.96
  4. Step 4: Simplify right side
    257.96x = 46,822.41
  5. Step 5: Solve for x
    x = 46,822.41/257.96
  6. Step 6: Final answer
    x = 181.51

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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.