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Finding the Fourth Proportional to 411.26, 615.44 and 257.06

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Solution

The fourth proportional to 411.26, 615.44 and 257.06 is: 384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.26 : 615.44 = 257.06 : x
  2. Step 2: Convert to fraction form
    411.26/615.44 = 257.06/x
  3. Step 3: Cross multiply
    411.26x = 615.44 × 257.06
  4. Step 4: Simplify right side
    411.26x = 158,205.01
  5. Step 5: Solve for x
    x = 158,205.01/411.26
  6. Step 6: Final answer
    x = 384.68

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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.