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Finding the Fourth Proportional to 257.36, 387.60 and 217.04

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Solution

The fourth proportional to 257.36, 387.60 and 217.04 is: 326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.36 : 387.60 = 217.04 : x
  2. Step 2: Convert to fraction form
    257.36/387.60 = 217.04/x
  3. Step 3: Cross multiply
    257.36x = 387.60 × 217.04
  4. Step 4: Simplify right side
    257.36x = 84,124.70
  5. Step 5: Solve for x
    x = 84,124.70/257.36
  6. Step 6: Final answer
    x = 326.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.