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Finding the Fourth Proportional to 326.10, 488.96 and 257.41

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Solution

The fourth proportional to 326.10, 488.96 and 257.41 is: 385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.10 : 488.96 = 257.41 : x
  2. Step 2: Convert to fraction form
    326.10/488.96 = 257.41/x
  3. Step 3: Cross multiply
    326.10x = 488.96 × 257.41
  4. Step 4: Simplify right side
    326.10x = 125,863.19
  5. Step 5: Solve for x
    x = 125,863.19/326.10
  6. Step 6: Final answer
    x = 385.97

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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.